DP Physics Questionbank
Topic 4: Waves
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Description
Overview of the essential ideas for this topic
4.1: A study of oscillations underpins many areas of physics with simple harmonic motion (shm), a fundamental oscillation that appears in various natural phenomena.
4.2: There are many forms of waves available to be studied. A common characteristic of all travelling waves is that they carry energy, but generally the medium through which they travel will not be permanently disturbed.
4.3: All waves can be described by the same sets of mathematical ideas. Detailed knowledge of one area leads to the possibility of prediction in another.
4.4: Waves interact with media and each other in a number of ways that can be unexpected and useful.
4.5: When travelling waves meet they can superpose to form standing waves in which energy may not be transferred.
Directly related questions
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- 18M.2.SL.TZ2.3b.ii: Draw lines on the diagram to complete wavefronts A and B in water for θ < θmax.
- 18M.2.SL.TZ2.3b.i: The speed of sound in air is 340 m s–1 and in water it is 1500 m s–1. The wavefronts make an...
- 18M.2.SL.TZ2.3a.iii: Label a position N that is a node of the standing wave.
- 18M.2.SL.TZ2.3a.ii: Draw an arrow on the diagram to represent the direction of motion of the molecule at X.
- 18M.2.SL.TZ2.3a.i: Outline how the standing wave is formed.
- 18M.2.HL.TZ2.1d.i: Outline why the ball will perform simple harmonic oscillations about the equilibrium position.
- 18M.1.SL.TZ2.18: A pair of slits in a double slit experiment are illuminated with monochromatic light...
- 18M.1.SL.TZ2.17: A sound wave has a wavelength of 0.20 m. What is the phase difference between two points along...
- 18M.1.SL.TZ2.16: What are the changes in the speed and in the wavelength of monochromatic light when the light...
- 18M.1.SL.TZ2.15: What is true about the acceleration of a particle that is oscillating with simple harmonic...
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- 18M.2.SL.TZ1.3a.i: A series of dark and bright fringes appears on the screen. Explain how a dark fringe is formed.
- 18M.2.HL.TZ1.3a.ii: Outline why the beam has to be coherent in order for the fringes to be visible.
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- 18M.1.SL.TZ1.13: A first-harmonic standing wave is formed on a vertical string of length 3.0 m using a vibration...
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- 10N.3.SL.TZ0.A3b: (i) first harmonic frequency \({f_1}\). (ii) second harmonic frequency \({f_2}\).
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- 10N.2.HL.TZ0.B2Part2.b: (i) wavelength of the microwaves. (ii) frequency of the microwaves.
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- 09N.1.HL.TZ0.18: Which of the following is a correct comparison between standing waves and travelling waves?
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- 09N.1.HL.TZ0.14: Which of the following is the best estimate of the wavelength? A. 2 cm B. 4 cm C. ...
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- 17N.2.SL.TZ0.4a.iii: Sketch, on the diagram, the subsequent path of the light ray.
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- 17M.2.HL.TZ2.2a: Outline the conditions necessary for simple harmonic motion (SHM) to occur.
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- 17M.2.HL.TZ1.7e.i: State the direction of motion of P on the spring.
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- 17M.2.SL.TZ2.3b.i: The slits are separated by 1.5 mm and the laser light has a wavelength of 6.3 x 10–7 m. The slits...
- 17M.2.SL.TZ2.3a: Explain, with reference to the light passing through the slits, why a series of voltage peaks...
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- 16M.2.HL.TZ0.10a: Explain why the intensity of light at θ=0 is 16I0.
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- 16M.2.SL.TZ0.4b: Calculate, for this wave, (i) the speed. (ii) the frequency.
- 16M.2.SL.TZ0.4a: State what is meant by a longitudinal travelling wave.
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- 16N.1.HL.TZ0.14: A point source of light of amplitude A0 gives rise to a particular light intensity when viewed at...
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- 16N.1.SL.TZ0.13: A body undergoes one oscillation of simple harmonic motion (shm). What is correct for the...
- 16M.1.SL.TZ0.17: A light ray...
- 16M.1.SL.TZ0.16: A pipe of length L...
- 16M.1.SL.TZ0.15: Horizontally polarized...
- 16M.1.SL.TZ0.14: A water wave moves on the...
- 16M.1.SL.TZ0.13: A point source emits sound waves of amplitude A. The sound intensity at a distance d from the...
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- 10N.2.SL.TZ0.B1Part1.a: (i) label with the letter A a point at which the acceleration of the pendulum bob is a...
- 10N.1.SL.TZ0.15: Monochromatic light travels from air into water. Which of the following describes the changes in...
- 10N.1.SL.TZ0.14: One end of a horizontal string is fixed to a wall. A transverse pulse moves along the string as...
- 10N.1.HL.TZ0.17: Horizontally polarized light is transmitted through a polarizer whose transmission axis is...
- 10N.1.HL.TZ0.16: In two separate experiments monochromatic light is incident on a single slit. The diagrams show...
- 10N.1.HL.TZ0.15: A standing wave is established in air in a pipe with one closed and one open end. The air...
- 10N.1.HL.TZ0.13: A particle performs simple harmonic oscillations. Which of the following quantities will be...
- 10N.1.HL.TZ0.12: Which of the following graphs shows the variation with displacement \(x\) of the speed \(v\) of a...
- 10M.1.SL.TZ1.15: Two waves meet at a point in space. Which of the following properties always add together? A. ...
- 10M.1.SL.TZ1.14: Which of the following is a value of wavelength that is found in the visible region of the...
- 10M.1.SL.TZ1.12: The graph shows how the velocity \(v\) of an object undergoing simple harmonic motion varies with...
- 09M.1.SL.TZ1.15: What is the best estimate for the refractive index of a medium in which light travels at a speed...
- 09M.1.SL.TZ1.14: In which of the following regions of the electromagnetic spectrum is radiation of wavelength 600...
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- 09M.1.HL.TZ1.19: Unpolarized light is shone through two identical polarizers whose axes are parallel. The ratio...
- 09M.1.HL.TZ1.16: The wavelength of a standing (stationary) wave is equal to A. the distance between adjacent...
- 14M.3.SL.TZ2.3d: Emlyn puts on a pair of polarizing sunglasses. Explain how these sunglasses reduce the intensity...
- 14M.2.SL.TZ2.5d: The arrangement in (c) is changed and another loudspeaker is added. Both loudspeakers emit the...
- 14M.2.SL.TZ2.5c: (i) Draw rays to show how the person at position 1 is able to hear the sound emitted by the...
- 14M.2.HL.TZ2.4c: The pipe is held stationary by the crane and an observer runs towards the pipe. Outline how the...
- 14M.2.HL.TZ2.4b: A hollow pipe open at both ends is suspended just above the ground on a construction...
- 14M.2.HL.TZ2.4a: (i) State the direction of oscillation of an air molecule at point P. (ii) Compare the...
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- 14N.3.SL.TZ0.22b: The sound has a maximum intensity at P. Calculate the distance along line AB to the next...
- 14N.3.SL.TZ0.22a: With reference to interference, explain why the intensity of sound alternates along line AB.
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- 14N.3.SL.TZ0.2b: The standing wave in the tube corresponds to the fourth harmonic. The speed of sound in the tube...
- 14N.3.SL.TZ0.2a: Outline whether the standing wave is transverse or longitudinal.
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- 14N.2.HL.TZ0.7f.iii: Outline how polarized sunglasses help to reduce glare from the sea.
- 14N.2.HL.TZ0.7f.i: Describe the polarization of the sunlight that is reflected from the sea.
- 15N.3.SL.TZ0.21c.i: Determine the change in angle when blue light of wavelength 440 nm is used.
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- 15N.3.SL.TZ0.21a: State one way to ensure that the light incident on the slits is coherent.
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- 15N.3.SL.TZ0.2b: The train is moving directly away from a stationary observer at a speed of...
- 15N.3.SL.TZ0.2a.ii: Calculate the frequency of the whistle sound.
- 15N.3.SL.TZ0.2a.i: Show that there must be a node at a distance of 0.18 m from the closed end of the pipe.
- 15N.2.SL.TZ0.4f.ii: On the graph opposite, sketch the wave that results from the superposition of wave A and wave B...
- 15N.2.SL.TZ0.4f.i: State what is meant by the principle of superposition of waves.
- 15N.2.SL.TZ0.4e.ii: Deduce the frequency of wave B.
- 15N.2.SL.TZ0.4e.i: Wave A has a frequency of 9.0 Hz. Calculate the velocity of wave A.
- 15N.2.SL.TZ0.4d: State the amplitude of wave A.
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- 15N.2.SL.TZ0.3a: Define simple harmonic motion (SHM).
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- 15N.1.HL.TZ0.17: Light is incident from air on the surface of a transparent medium. When V is equal to the...
- 15N.1.HL.TZ0.15: Electromagnetic waves pass through a slit in a metal plate with minimal diffraction. The slit has...
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- 15M.1.SL.TZ1.14: Which graph shows the variation with amplitude A of the intensity I for a wave?
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- 15M.1.HL.TZ1.13: A standing (stationary) wave is set up on a stretched string. The diagram below shows the string...
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- 14M.1.SL.TZ1.13: A body undergoes simple harmonic motion. Which graph correctly shows the variation with...
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- 14M.2.HL.TZ1.4c: (i) Outline the difference between a polarized wave and an unpolarized wave. (ii) State why...
- 14M.2.SL.TZ1.4h: Outline the conditions necessary for the object to execute simple harmonic motion.
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- 14M.3.SL.TZ1.2a: On leaving the station, the train blows its horn. Both the first harmonic and the next highest...
- 14M.3.SL.TZ1.19b: A charge moves backwards and forwards along a wire, as shown in the diagram below. Outline,...
- 14M.3.SL.TZ1.20a: Two radio stations, A and B, broadcast two coherent signals. The separation d between A and B is...
- 14N.1.SL.TZ0.12: A high solid wall separates two gardens X and Y. Music from a loudspeaker in X can be heard in Y...
- 14M.3.SL.TZ1.2b: (i) Describe what is meant by the Doppler effect. (ii) The train approaches a stationary...
- 14M.3.SL.TZ1.20b: The receiver R then moves along a different line M which is at 90º to line L. Discuss the...
- 14N.1.HL.TZ0.13: A string is made to vibrate at its third harmonic. The diagram shows two points P and Q at a...
- 11N.1.SL.TZO.14: The diagram shows the variation of velocity v with time t for an object performing simple...
- 11N.1.SL.TZO.15: Which of the following gives regions of the electromagnetic spectrum in the order of decreasing...
- 11N.1.SL.TZO.29: The power emitted as electromagnetic radiation by the Sun is approximately 4×1026 W. The radius...
- 11N.1.HL.TZ0.14: Which of the following gives regions of the electromagnetic spectrum in the order of decreasing...
- 11N.1.HL.TZ0.17: The phenomenon of diffraction is associated with A. sound waves only.B. light waves only.C....
- 11N.1.HL.TZ0.19: Polarized light of intensity I0 is incident on a polarizing filter. The angle between the plane...
- 12N.1.SL.TZ0.17: Waves emitted from sources X and Y have equal wavelengths and are initially in phase. The waves...
- 11N.1.HL.TZ0.15: A standing wave is established on a string between two fixed points. What is the phase...
- 12N.1.SL.TZ0.27: The intensity of radiation from a star at the surface of one of its planets is I. The distance...
- 12N.1.HL.TZ0.14: Progressive (travelling) waves S and T have the same frequency and are in the same medium. S has...
- 12N.1.HL.TZ0.16: P and Q are two points on a standing wave. R and S are two points on a progressive (travelling)...
- 12N.1.HL.TZ0.18: Unpolarized light is incident on the surface of a transparent medium. The reflected light is...
- 13N.1.SL.TZ0.12: For a body undergoing simple harmonic motion the velocity and acceleration are A. always in the...
- 13N.1.SL.TZ0.14: Which of the following correctly relates the direction of oscillation of the particles in a...
- 13N.1.HL.TZ0.13: The diagrams show four different organ pipes drawn to scale. Standing waves in the fundamental...
- 13N.1.SL.TZ0.16: Two identical waves of wavelength λ leave two sources in phase. The waves meet and superpose...
- 13N.1.HL.TZ0.16: Two polarizing filters are set up so the transmitted light is at a maximum intensity. Through...
- 13M.1.HL.TZ1.13: A standing wave of frequency ƒ is established in air in a pipe open at one end, as...
- 13M.1.HL.TZ1.11: Gas particles are equally spaced along a straight line. A sound wave passes through the gas. The...
- 13M.1.HL.TZ1.17: Unpolarized light of intensity I0 is transmitted through a polarizer which has a transmission...
- 12M.1.SL.TZ1.5: A pendulum swings back and forth in a circular arc between X and Y. The pendulum bob is A....
- 13M.1.HL.TZ1.12: A point source of sound is placed behind a soundproof barrier as shown in the diagram. From...
- 13M.2.SL.TZ1.3b: The diagram shows two point sources of sound, X and Y. Each source emits waves of wavelength 1.1...
- 13M.2.SL.TZ1.6a: (i) State the amplitude of the oscillation. (ii) Calculate the frequency of the oscillation.
- 13M.2.SL.TZ1.3a: State what is meant by the principle of superposition of waves.
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- 12M.1.SL.TZ1.15: A ray of light travels from a vacuum into glass as shown below. In glass, light has speed v....
- 12M.1.HL.TZ1.12: A transverse standing wave is established on a string. Consider the following phase...
- 12M.1.HL.TZ1.15: A beam of unpolarized light is incident on the surface of a liquid and is partially reflected and...
- 11M.1.SL.TZ2.14: The graph shows...
- 12M.1.HL.TZ2.16: The diagrams show the variation with time t of the displacement y of a particle of a medium...
- 12M.1.HL.TZ2.20: Unpolarized light is incident on a polarizer. The light transmitted by the first polarizer is...
- 13M.2.SL.TZ2.8a: A gas is contained in a horizontal cylinder by a freely moving piston P. Initially P is at rest...
- 13M.2.SL.TZ2.8b: The graph shows how the displacement x of the piston P in (a) from equilibrium varies with time...
- 13M.2.SL.TZ2.8c: The oscillations of P initially set up a longitudinal wave in the gas. (i) Describe, with...
- 11M.1.HL.TZ2.15: A string...
- 13M.3.SL.TZ1.3a: Describe the formation of standing waves in a string fixed at both ends.
- 13M.3.SL.TZ1.3b: The length of the string is 0.64 m. Calculate the velocity of the wave in the string.
- 13M.1.SL.TZ2.14: Light of wavelength 600 nm travels from air to glass at normal incidence. The refractive index of...
- 13M.1.SL.TZ2.15: Which of the following correctly describes the direction of a ray drawn relative to a wavefront...
- 12M.2.SL.TZ2.5c: A light spring is stretched horizontally and a longitudinal travelling wave is set up in the...
- 13M.1.HL.TZ2.16: The air in a pipe, of length l and open at both ends, vibrates with a fundamental frequency f....
- 13M.1.HL.TZ2.18: Unpolarized light of intensity I0 is incident on a polarizer with a vertical transmission axis....
- 11M.2.SL.TZ2.4a: By reference to simple harmonic motion, state what is meant by...
- 11M.2.SL.TZ2.4c: A wave is travelling along a string. The string can be modelled as...
- 11M.2.HL.TZ2.13d: The string in (c) is fixed at both ends and...
- 12M.2.HL.TZ1.5a: On the axes below, sketch a graph to show how the intensity I of the light emerging from the...
- 12M.2.SL.TZ1.6a: Define simple harmonic motion.
- 12M.2.SL.TZ1.6e: A long spring is stretched so that it has a length of 10.0 m. Both ends are made to oscillate...
- 12M.3.SL.TZ1.2a: A string is fixed at one end and the other free end is moved up and down. Explain how a standing...
- 12M.3.SL.TZ1.2b: The diagram shows a string vibrating in its first harmonic mode. Both endsof the string are...
- 11M.3.SL.TZ2.21b: State, with reference to the wavelength, the condition that must be satisfied for a bright fringe...
- 11M.3.SL.TZ2.21c: Air is allowed to enter gradually into one of the evacuated tubes. The brightness of the light at...
- 11M.3.SL.TZ2.1b: The standing wave has wavelength λ and frequency f. State and explain, with respect to a standing...
- 11M.3.SL.TZ2.21a: State what is meant by coherence.
- 11N.2.SL.TZ0.6a: On the diagram above, identify (i) with an arrow, the direction of movement of marker P at the...
- 11N.2.SL.TZ0.8b: The graph shows the variation with frequency of the percentage transmittance of electromagnetic...
- 12M.3.SL.TZ2.2b: A loudspeaker connected to a signal generator is placed in front of the open end of a...
- 11M.3.SL.TZ2.1a: For this standing wave (i) state the relationship between λ and L. (ii) label, on the diagram,...
- 11M.3.SL.TZ2.19a: State two properties that are common to all electromagnetic waves.
- 11N.2.SL.TZ0.6b: The wavelength of the wave is 25mm and its speed is 18mms–1. (i) Calculate the time period T of...
- 11N.2.SL.TZ0.6d: The right-hand edge of the wave AB reaches a point where the string is securely attached to a...
- 12M.3.SL.TZ2.2a: State one way in which a standing wave differs from a travelling (progressive) wave.
- 12M.3.SL.TZ2.2c: The frequency of sound is continuously increased above 92.0Hz. Calculate the frequency at which...
- 12M.3.SL.TZ2.4a: State what is meant by polarized light.
- 12M.3.SL.TZ2.4b: Light of intensity I0 is incident on a polarizer. The transmission axis of the polarizer is...
- 11N.3.SL.TZ0.3c: The light from a point source is unpolarized. The light can be polarized by passing it through a...
- 11N.3.SL.TZ0.3a: Light from a monochromatic point source S1 is incident on a narrow, rectangular slit. After...
- 11N.3.SL.TZ0.15a: Outline the nature of electromagnetic waves.
- 12N.2.SL.TZ0.6b: The diagram shows three wavefronts, A, B and C, of a wave at a particular instant in time...
- 11N.3.SL.TZ0.2a: The diagram shows an organ pipe that is open at both ends. The pipe is emitting its lowest...
- 11N.3.SL.TZ0.2b: The length of the pipe in (a) is 1.5 m. An organ pipe that is closed at one end has the same...
- 12N.2.SL.TZ0.6a: State what is meant by the terms ray and wavefront and state the relationship between them.
- 12N.2.SL.TZ0.6c: Describe the difference between transverse waves and longitudinal waves.
- 12N.3.SL.TZ0.3a: Describe what is meant by polarized light.
- 12M.3.SL.TZ2.17b: State two cases in which electrons may produce electromagnetic waves.
- 12M.3.SL.TZ2.17a: Outline what is meant by an electromagnetic wave.
- 13N.2.SL.TZ0.5a: A particle P moves with simple harmonic motion. State, with reference to the motion of P, what is...
- 13N.2.SL.TZ0.5c: The particle P in (b) is a particle in medium M1 through which a transverse wave is...
- 13N.2.HL.TZ0.10a: A particle P moves with simple harmonic motion. (i) State, with reference to the motion of P,...
- 11M.1.SL.TZ1.13: A transverse wave travels from left to right. The diagram below shows how, at a particular...
- 11M.1.HL.TZ1.13: The fundamental (first harmonic) frequency for a particular organ pipe is 330 Hz. The pipe...
- 11M.1.HL.TZ1.16: Plane-polarized light is incident normally on a polarizer which is able to rotate in the...
- 11M.1.SL.TZ1.14: The graph shows how the displacement varies with time for an object undergoing simple...
- 11M.1.HL.TZ1.12: Light travels from air into glass as shown below. The refractive index of the glass is A....
- 11M.1.HL.TZ1.14: Light is diffracted at a single slit. Which of the following graphs best represents how the...
- 11M.1.SL.TZ1.15: Light travels from air into glass as shown below. What is the refractive index of glass? A....
- 13N.3.SL.TZ0.3c: The light from the car headlights in (b) is not polarized. State what is meant by polarized light.
- 13N.3.SL.TZ0.16a: State the principle of superposition.
- 13N.3.SL.TZ0.16b: The diagram shows a plan view of a harbour with a floating barrier that has two openings of equal...
- 13N.3.SL.TZ0.16c: The harbour in (b) is modified to have many narrower openings. The total width of the openings...
- 11M.1.SL.TZ1.16: Which of the following electromagnetic waves has a frequency greater than that of visible...
- 11M.2.SL.TZ1.5a: For particle P, (i) state how graph 1 shows that its oscillations are not damped. (ii)...
- 11M.2.SL.TZ1.5b: Graph 2 shows the variation with position d of the displacement x of particles in the medium at a...
- 11M.2.HL.TZ1.3a: State what is meant by polarized light.
- 11M.3.SL.TZ1.1a: Describe two ways that standing waves are different from travelling waves.
- 11M.2.SL.TZ1.5c: Graph 2 – reproduced to assist with answering (c)(i). (c) The diagram shows the equilibrium...
- 11M.2.HL.TZ1.3c: Unpolarized light from a source is split, so that there is a path difference of half a wavelength...
- 11M.3.SL.TZ1.1c: The tube is raised until the loudness of the sound reaches a maximum for a second time. Between...
- 11M.2.HL.TZ1.3b: Unpolarized light is incident on the surface of a plastic. The angle of incidence is θ . The...
- 11M.3.SL.TZ1.1b: An experiment is carried out to measure the speed of sound in air, using the apparatus shown...
- 11M.3.SL.TZ1.19a: State an approximate value for the wavelength of visible light.
Sub sections and their related questions
4.1 – Oscillations
- 15M.1.SL.TZ1.12: An object performs simple harmonic motion (SHM) about a central point. The object has velocity v...
- 15M.1.HL.TZ2.10: A liquid in a U-tube is given an initial displacement and allowed to oscillate. The motion of the...
- 15M.2.SL.TZ1.5c: Define simple harmonic motion (SHM).
- 14M.1.SL.TZ1.13: A body undergoes simple harmonic motion. Which graph correctly shows the variation with...
- 14M.2.SL.TZ1.4h: Outline the conditions necessary for the object to execute simple harmonic motion.
- 14M.2.SL.TZ1.4i: The sketch graph below shows how the displacement of the object from point O varies with time...
- 15N.2.SL.TZ0.3a: Define simple harmonic motion (SHM).
- 15N.2.SL.TZ0.3d: A second object Y oscillates with the same frequency as X but with a phase difference of...
- 11N.1.SL.TZO.14: The diagram shows the variation of velocity v with time t for an object performing simple...
- 13N.1.SL.TZ0.12: For a body undergoing simple harmonic motion the velocity and acceleration are A. always in the...
- 12M.1.SL.TZ1.5: A pendulum swings back and forth in a circular arc between X and Y. The pendulum bob is A....
- 13M.2.SL.TZ1.6a: (i) State the amplitude of the oscillation. (ii) Calculate the frequency of the oscillation.
- 11M.1.SL.TZ2.14: The graph shows...
- 12M.1.HL.TZ2.16: The diagrams show the variation with time t of the displacement y of a particle of a medium...
- 13M.2.SL.TZ2.8a: A gas is contained in a horizontal cylinder by a freely moving piston P. Initially P is at rest...
- 13M.2.SL.TZ2.8b: The graph shows how the displacement x of the piston P in (a) from equilibrium varies with time...
- 11M.2.SL.TZ2.4a: By reference to simple harmonic motion, state what is meant by...
- 11M.2.SL.TZ2.4c: A wave is travelling along a string. The string can be modelled as...
- 12M.2.SL.TZ1.6a: Define simple harmonic motion.
- 13N.2.SL.TZ0.5a: A particle P moves with simple harmonic motion. State, with reference to the motion of P, what is...
- 13N.2.HL.TZ0.10a: A particle P moves with simple harmonic motion. (i) State, with reference to the motion of P,...
- 11M.1.SL.TZ1.14: The graph shows how the displacement varies with time for an object undergoing simple...
- 11M.2.SL.TZ1.5a: For particle P, (i) state how graph 1 shows that its oscillations are not damped. (ii)...
- 09M.1.SL.TZ1.12: Which graph correctly shows how the acceleration, \(a\) of a particle undergoing SHM varies with...
- 10M.1.SL.TZ1.12: The graph shows how the velocity \(v\) of an object undergoing simple harmonic motion varies with...
- 10M.1.SL.TZ1.15: Two waves meet at a point in space. Which of the following properties always add together? A. ...
- 10N.1.HL.TZ0.12: Which of the following graphs shows the variation with displacement \(x\) of the speed \(v\) of a...
- 10N.1.HL.TZ0.13: A particle performs simple harmonic oscillations. Which of the following quantities will be...
- 10N.2.SL.TZ0.B1Part1.a: (i) label with the letter A a point at which the acceleration of the pendulum bob is a...
- 10N.2.SL.TZ0.B1Part1.b: Explain why the magnitude of the tension in the string at the midpoint of the oscillation is...
- 16N.1.SL.TZ0.13: A body undergoes one oscillation of simple harmonic motion (shm). What is correct for the...
- 16N.1.SL.TZ0.14: A particle oscillates with simple harmonic motion (shm) of period T. Which graph shows the...
- 17M.1.SL.TZ1.13: A particle undergoes simple harmonic motion (SHM). The graph shows the variation of velocity v of...
- 17M.1.SL.TZ1.15: Two pulses are travelling towards each other. What is a possible pulse shape when the pulses...
- 17M.1.SL.TZ2.13: In simple harmonic oscillations which two quantities always have opposite directions? A....
- 17M.2.HL.TZ2.2a: Outline the conditions necessary for simple harmonic motion (SHM) to occur.
- 17N.1.SL.TZ0.12: The graph shows the variation with time t of the velocity v of an object undergoing simple...
- 17N.1.HL.TZ0.11: The graph shows the variation with position s of the displacement x of a wave undergoing simple...
- 18M.1.SL.TZ1.14: Two travelling waves are moving through a medium. The diagram shows, for a point in the medium,...
- 18M.1.SL.TZ1.16: A system that is subject to a restoring force oscillates about an equilibrium position. For the...
- 18M.1.SL.TZ1.17: A particle is displaced from rest and released at time t = 0. It performs simple harmonic motion...
- 18M.1.SL.TZ2.14: Two sound waves from a point source on the ground travel through the ground to a detector. The...
- 18M.1.SL.TZ2.15: What is true about the acceleration of a particle that is oscillating with simple harmonic...
- 18M.2.HL.TZ2.1d.i: Outline why the ball will perform simple harmonic oscillations about the equilibrium position.
4.2 – Travelling waves
- 15M.1.HL.TZ2.12: A wave pulse is sent along a light string which is attached to a heavy rope as shown. The...
- 15M.2.SL.TZ1.5e: The sound waves from the loudspeaker travel in air with speed 330 ms−1. (i) Calculate the...
- 15M.2.SL.TZ1.5f: A second loudspeaker S emits the same frequency as L but vibrates out of phase with L. The graph...
- 14M.1.SL.TZ1.12: A wave of period 5.0m s travels through a medium. The graph shows the variation with distance d...
- 14M.1.SL.TZ2.16: The diagram shows, at a particular instant in time, part of a rope along which a wave is...
- 15N.1.SL.TZ0.14: A transverse travelling wave has an amplitude \({x_0}\) and wavelength \(\lambda \). What is the...
- 15N.1.SL.TZ0.15: A wave on a string travels to the right as shown. The frequency of the wave is \(f\). At time...
- 15N.2.SL.TZ0.4d: State the amplitude of wave A.
- 15N.2.SL.TZ0.4e.i: Wave A has a frequency of 9.0 Hz. Calculate the velocity of wave A.
- 15N.2.SL.TZ0.4e.ii: Deduce the frequency of wave B.
- 14M.3.SL.TZ1.19b: A charge moves backwards and forwards along a wire, as shown in the diagram below. Outline,...
- 14N.2.SL.TZ0.5c.i: Calculate the wavelength of an infrared wave with a frequency equal to that of the model in (b).
- 11N.1.SL.TZO.15: Which of the following gives regions of the electromagnetic spectrum in the order of decreasing...
- 11N.1.HL.TZ0.14: Which of the following gives regions of the electromagnetic spectrum in the order of decreasing...
- 13N.1.SL.TZ0.14: Which of the following correctly relates the direction of oscillation of the particles in a...
- 13M.1.HL.TZ1.11: Gas particles are equally spaced along a straight line. A sound wave passes through the gas. The...
- 13M.1.HL.TZ1.17: Unpolarized light of intensity I0 is transmitted through a polarizer which has a transmission...
- 12M.1.SL.TZ2.14: A wave pulse is travelling along a dense thick rope which is connected to a less dense thin...
- 12M.1.SL.TZ1.14: What region of the electromagnetic spectrum includes waves of wavelength 5 ×10–8 m? A. X-ray B....
- 13M.2.SL.TZ2.8c: The oscillations of P initially set up a longitudinal wave in the gas. (i) Describe, with...
- 13M.1.SL.TZ2.15: Which of the following correctly describes the direction of a ray drawn relative to a wavefront...
- 12M.2.SL.TZ2.5c: A light spring is stretched horizontally and a longitudinal travelling wave is set up in the...
- 11M.2.SL.TZ2.4c: A wave is travelling along a string. The string can be modelled as...
- 11M.3.SL.TZ2.19a: State two properties that are common to all electromagnetic waves.
- 11N.2.SL.TZ0.6a: On the diagram above, identify (i) with an arrow, the direction of movement of marker P at the...
- 11N.2.SL.TZ0.6b: The wavelength of the wave is 25mm and its speed is 18mms–1. (i) Calculate the time period T of...
- 11N.2.SL.TZ0.8b: The graph shows the variation with frequency of the percentage transmittance of electromagnetic...
- 11N.3.SL.TZ0.15a: Outline the nature of electromagnetic waves.
- 12N.2.SL.TZ0.6c: Describe the difference between transverse waves and longitudinal waves.
- 12M.3.SL.TZ2.17a: Outline what is meant by an electromagnetic wave.
- 12M.3.SL.TZ2.17b: State two cases in which electrons may produce electromagnetic waves.
- 13N.2.SL.TZ0.5c: The particle P in (b) is a particle in medium M1 through which a transverse wave is...
- 11M.1.SL.TZ1.13: A transverse wave travels from left to right. The diagram below shows how, at a particular...
- 11M.1.SL.TZ1.16: Which of the following electromagnetic waves has a frequency greater than that of visible...
- 11M.2.SL.TZ1.5b: Graph 2 shows the variation with position d of the displacement x of particles in the medium at a...
- 11M.2.SL.TZ1.5c: Graph 2 – reproduced to assist with answering (c)(i). (c) The diagram shows the equilibrium...
- 11M.3.SL.TZ1.19a: State an approximate value for the wavelength of visible light.
- 09M.1.SL.TZ1.14: In which of the following regions of the electromagnetic spectrum is radiation of wavelength 600...
- 10M.1.SL.TZ1.14: Which of the following is a value of wavelength that is found in the visible region of the...
- 09N.1.HL.TZ0.14: Which of the following is the best estimate of the wavelength? A. 2 cm B. 4 cm C. ...
- 09N.1.HL.TZ0.15: Which of the following is the best estimate of the amplitude? A. 0.4 cm B. 0.8 cm C. ...
- 10N.1.SL.TZ0.14: One end of a horizontal string is fixed to a wall. A transverse pulse moves along the string as...
- 16M.2.SL.TZ0.4a: State what is meant by a longitudinal travelling wave.
- 16M.2.SL.TZ0.4b: Calculate, for this wave, (i) the speed. (ii) the frequency.
- 16M.2.SL.TZ0.4c: The equilibrium position of a particle in the medium is at x=0.80 m. For this particle at t=0,...
- 16M.2.HL.TZ0.4b: (i) Calculate the speed of this wave. (ii) Show that the angular frequency of oscillations of a...
- 16N.1.SL.TZ0.17: A student stands a distance L from a wall and claps her hands. Immediately on hearing the...
- 17M.1.SL.TZ1.14: What statement about X-rays and ultraviolet radiation is correct? A. X-rays travel faster in a...
- 17M.1.SL.TZ1.15: Two pulses are travelling towards each other. What is a possible pulse shape when the pulses...
- 17M.1.HL.TZ1.12: A travelling wave of period 5.0 ms travels along a stretched string at a speed of 40 m s–1. Two...
- 17M.2.HL.TZ1.7e.i: State the direction of motion of P on the spring.
- 17M.2.HL.TZ1.7e.ii: Explain whether P is at the centre of a compression or the centre of a rarefaction.
- 17M.1.SL.TZ2.14: A girl in a stationary boat observes that 10 wave crests pass the boat every minute. What is...
- 17M.1.SL.TZ2.15: The graph shows the variation with distance x of the displacement of the particles of a medium in...
- 17N.1.SL.TZ0.13: What is the phase difference, in rad, between the centre of a compression and the centre of...
- 18M.2.SL.TZ1.3a.i: A series of dark and bright fringes appears on the screen. Explain how a dark fringe is formed.
- 18M.1.SL.TZ2.17: A sound wave has a wavelength of 0.20 m. What is the phase difference between two points along...
- 18M.2.HL.TZ1.3a.ii: Outline why the beam has to be coherent in order for the fringes to be visible.
4.3 – Wave characteristics
- 15M.1.SL.TZ1.14: Which graph shows the variation with amplitude A of the intensity I for a wave?
- 15M.1.HL.TZ1.12: Wave generators placed at position P and position Q produce water waves of wavelength 4.0 cm....
- 15M.1.HL.TZ1.16: An unpolarized ray of light in air is incident on the surface of water. The reflected ray is...
- 15M.1.HL.TZ1.17: Two polarizers have polarizing axes that make an angle of 30˚ to each other. Unpolarized light of...
- 15M.1.SL.TZ1.15: Wave generators placed at position P and position Q produce water waves of wavelength 4.0 cm....
- 15M.1.SL.TZ2.15: Two wave pulses move towards each other as shown in the diagram. Which diagram shows a...
- 15M.2.HL.TZ2.4a: Outline why a minimum in the intensity occurs for certain positions of sheet B.
- 15M.2.HL.TZ2.4d: Microwaves can be used to demonstrate polarization effects. Outline why an ultrasound receiver...
- 15M.3.SL.TZ1.4a: Outline the function of an analyser in this context.
- 15M.3.SL.TZ1.4b: Polarized light of intensity I0 is incident on the analyser. (i) The transmission axis of the...
- 15M.3.SL.TZ2.4a: State what is meant by polarized light.
- 14M.1.HL.TZ1.20: Unpolarized light of intensity \({I_0}\) is incident on a polarizer that has a vertical...
- 14M.1.HL.TZ2.19: A person wearing polarizing sunglasses stands at the edge of a pond in bright sunlight. The...
- 14M.2.HL.TZ1.4c: (i) Outline the difference between a polarized wave and an unpolarized wave. (ii) State why...
- 15N.1.HL.TZ0.15: Electromagnetic waves pass through a slit in a metal plate with minimal diffraction. The slit has...
- 15N.1.SL.TZ0.16: Electromagnetic waves A. always obey an inverse square law. B. are made up of electric...
- 15N.1.SL.TZ0.17: A wave pulse travels along a light string which is attached to a frictionless ring. The ring can...
- 15N.3.SL.TZ0.3a: Sketch, for the diffraction pattern produced, a graph showing the variation of the relative...
- 14N.2.HL.TZ0.7f.i: Describe the polarization of the sunlight that is reflected from the sea.
- 14N.2.HL.TZ0.7f.iii: Outline how polarized sunglasses help to reduce glare from the sea.
- 14N.3.SL.TZ0.4a: Distinguish between polarized light and unpolarized light.
- 14M.3.SL.TZ2.3d: Emlyn puts on a pair of polarizing sunglasses. Explain how these sunglasses reduce the intensity...
- 11N.1.SL.TZO.29: The power emitted as electromagnetic radiation by the Sun is approximately 4×1026 W. The radius...
- 11N.1.HL.TZ0.19: Polarized light of intensity I0 is incident on a polarizing filter. The angle between the plane...
- 12N.1.SL.TZ0.17: Waves emitted from sources X and Y have equal wavelengths and are initially in phase. The waves...
- 12N.1.SL.TZ0.27: The intensity of radiation from a star at the surface of one of its planets is I. The distance...
- 12N.1.HL.TZ0.14: Progressive (travelling) waves S and T have the same frequency and are in the same medium. S has...
- 12N.1.HL.TZ0.18: Unpolarized light is incident on the surface of a transparent medium. The reflected light is...
- 13N.1.HL.TZ0.16: Two polarizing filters are set up so the transmitted light is at a maximum intensity. Through...
- 13M.1.HL.TZ1.12: A point source of sound is placed behind a soundproof barrier as shown in the diagram. From...
- 13M.2.SL.TZ1.3a: State what is meant by the principle of superposition of waves.
- 13M.2.SL.TZ1.3b: The diagram shows two point sources of sound, X and Y. Each source emits waves of wavelength 1.1...
- 12M.1.SL.TZ2.15: Two wave pulses travel along a string towards each other. The diagram shows their positions at...
- 12M.1.HL.TZ1.15: A beam of unpolarized light is incident on the surface of a liquid and is partially reflected and...
- 12M.1.HL.TZ2.20: Unpolarized light is incident on a polarizer. The light transmitted by the first polarizer is...
- 13M.1.HL.TZ2.18: Unpolarized light of intensity I0 is incident on a polarizer with a vertical transmission axis....
- 11M.2.HL.TZ2.13d: The string in (c) is fixed at both ends and...
- 12M.2.SL.TZ1.6e: A long spring is stretched so that it has a length of 10.0 m. Both ends are made to oscillate...
- 12M.2.HL.TZ1.5a: On the axes below, sketch a graph to show how the intensity I of the light emerging from the...
- 12M.3.SL.TZ2.4a: State what is meant by polarized light.
- 12M.3.SL.TZ2.4b: Light of intensity I0 is incident on a polarizer. The transmission axis of the polarizer is...
- 11N.3.SL.TZ0.3c: The light from a point source is unpolarized. The light can be polarized by passing it through a...
- 12N.2.SL.TZ0.6a: State what is meant by the terms ray and wavefront and state the relationship between them.
- 12N.3.SL.TZ0.3a: Describe what is meant by polarized light.
- 13N.3.SL.TZ0.3c: The light from the car headlights in (b) is not polarized. State what is meant by polarized light.
- 13N.3.SL.TZ0.16a: State the principle of superposition.
- 11M.1.HL.TZ1.16: Plane-polarized light is incident normally on a polarizer which is able to rotate in the...
- 11M.2.HL.TZ1.3a: State what is meant by polarized light.
- 11M.2.HL.TZ1.3b: Unpolarized light is incident on the surface of a plastic. The angle of incidence is θ . The...
- 11M.2.HL.TZ1.3c: Unpolarized light from a source is split, so that there is a path difference of half a wavelength...
- 09M.1.HL.TZ1.19: Unpolarized light is shone through two identical polarizers whose axes are parallel. The ratio...
- 10M.1.HL.TZ1.22: An optically active substance is a substance that A. has a refractive index that depends on...
- 10N.1.HL.TZ0.17: Horizontally polarized light is transmitted through a polarizer whose transmission axis is...
- 10N.2.HL.TZ0.B2Part2.a: Explain how these maxima and minima are formed.
- 10N.2.HL.TZ0.B2Part2.b: (i) wavelength of the microwaves. (ii) frequency of the microwaves.
- 10N.2.HL.TZ0.B2Part2.c: Describe and explain how it could be demonstrated that the microwaves are polarized.
- 16M.1.SL.TZ0.13: A point source emits sound waves of amplitude A. The sound intensity at a distance d from the...
- 16M.1.SL.TZ0.14: A water wave moves on the...
- 16M.1.SL.TZ0.15: Horizontally polarized...
- 16M.2.HL.TZ0.10a: Explain why the intensity of light at θ=0 is 16I0.
- 16N.1.HL.TZ0.14: A point source of light of amplitude A0 gives rise to a particular light intensity when viewed at...
- 16N.2.SL.TZ0.5b: Radio waves are emitted by a straight conducting rod antenna (aerial). The plane of polarization...
- 17M.1.SL.TZ1.15: Two pulses are travelling towards each other. What is a possible pulse shape when the pulses...
- 17M.1.SL.TZ1.16: Unpolarized light of intensity I0 is incident on the first of two polarizing sheets. Initially...
- 17M.1.HL.TZ1.13: Properties of waves are I. polarizationII. diffractionIII. refraction Which of these...
- 17M.2.SL.TZ1.2a: Outline what is meant by the principle of superposition of waves.
- 17M.1.SL.TZ2.16: A beam of unpolarized light is incident on the first of two parallel polarizers. The transmission...
- 17N.1.SL.TZ0.14: Two wave pulses, each of amplitude A, approach each other. They then superpose before continuing...
4.4 – Wave behaviour
- 15M.1.SL.TZ2.14: A water wave entering a harbour passes suddenly from deep to shallow water. In deep water, the...
- 14M.1.SL.TZ1.14: The speed of a wave in medium X is greater than the speed of the wave in medium Y. Which diagram...
- 14M.1.SL.TZ1.15: Two loudspeakers, L1 and L2, emit identical sound waves. The waves leaving L1 and L2 are in...
- 14M.1.HL.TZ1.18: Monochromatic coherent light is incident on a narrow rectangular slit. The diffracted light is...
- 14M.2.HL.TZ1.4b: A source of sound is placed in front of a barrier that has an opening of width comparable to the...
- 15N.1.HL.TZ0.17: Light is incident from air on the surface of a transparent medium. When V is equal to the...
- 15N.2.SL.TZ0.4f.i: State what is meant by the principle of superposition of waves.
- 15N.2.SL.TZ0.4f.ii: On the graph opposite, sketch the wave that results from the superposition of wave A and wave B...
- 14M.3.SL.TZ1.20a: Two radio stations, A and B, broadcast two coherent signals. The separation d between A and B is...
- 14M.3.SL.TZ1.20b: The receiver R then moves along a different line M which is at 90º to line L. Discuss the...
- 14N.1.SL.TZ0.12: A high solid wall separates two gardens X and Y. Music from a loudspeaker in X can be heard in Y...
- 15N.3.SL.TZ0.21a: State one way to ensure that the light incident on the slits is coherent.
- 15N.3.SL.TZ0.21b: Light emerging from \({{\text{S}}_{\text{1}}}\) and \({{\text{S}}_{\text{2}}}\) reaches the...
- 15N.3.SL.TZ0.21c.i: Determine the change in angle when blue light of wavelength 440 nm is used.
- 14N.3.SL.TZ0.22a: With reference to interference, explain why the intensity of sound alternates along line AB.
- 14N.3.SL.TZ0.22b: The sound has a maximum intensity at P. Calculate the distance along line AB to the next...
- 14N.3.SL.TZ0.22c: S1 and S2 are moved so that they are now 3.0 m apart. They remain at the same distance from line...
- 14M.2.SL.TZ2.5c: (i) Draw rays to show how the person at position 1 is able to hear the sound emitted by the...
- 14M.2.SL.TZ2.5d: The arrangement in (c) is changed and another loudspeaker is added. Both loudspeakers emit the...
- 11N.1.HL.TZ0.17: The phenomenon of diffraction is associated with A. sound waves only.B. light waves only.C....
- 13N.1.SL.TZ0.16: Two identical waves of wavelength λ leave two sources in phase. The waves meet and superpose...
- 13M.1.HL.TZ1.12: A point source of sound is placed behind a soundproof barrier as shown in the diagram. From...
- 13M.2.SL.TZ1.3b: The diagram shows two point sources of sound, X and Y. Each source emits waves of wavelength 1.1...
- 12M.1.SL.TZ1.15: A ray of light travels from a vacuum into glass as shown below. In glass, light has speed v....
- 13M.1.SL.TZ2.14: Light of wavelength 600 nm travels from air to glass at normal incidence. The refractive index of...
- 11M.3.SL.TZ2.21a: State what is meant by coherence.
- 11M.3.SL.TZ2.21b: State, with reference to the wavelength, the condition that must be satisfied for a bright fringe...
- 11M.3.SL.TZ2.21c: Air is allowed to enter gradually into one of the evacuated tubes. The brightness of the light at...
- 11N.2.SL.TZ0.6d: The right-hand edge of the wave AB reaches a point where the string is securely attached to a...
- 11N.3.SL.TZ0.3a: Light from a monochromatic point source S1 is incident on a narrow, rectangular slit. After...
- 12N.2.SL.TZ0.6b: The diagram shows three wavefronts, A, B and C, of a wave at a particular instant in time...
- 13N.2.SL.TZ0.5c: The particle P in (b) is a particle in medium M1 through which a transverse wave is...
- 13N.3.SL.TZ0.16b: The diagram shows a plan view of a harbour with a floating barrier that has two openings of equal...
- 13N.3.SL.TZ0.16c: The harbour in (b) is modified to have many narrower openings. The total width of the openings...
- 11M.1.SL.TZ1.15: Light travels from air into glass as shown below. What is the refractive index of glass? A....
- 11M.1.HL.TZ1.12: Light travels from air into glass as shown below. The refractive index of the glass is A....
- 09M.1.SL.TZ1.15: What is the best estimate for the refractive index of a medium in which light travels at a speed...
- 09N.1.SL.TZ0.12: A ray of light is incident on a boundary between glass and air. Which of the following is the...
- 09N.1.SL.TZ0.15: An orchestra playing on boat X can be heard by tourists on boat Y, which is situated out of sight...
- 10N.1.HL.TZ0.16: In two separate experiments monochromatic light is incident on a single slit. The diagrams show...
- 10N.1.SL.TZ0.15: Monochromatic light travels from air into water. Which of the following describes the changes in...
- 10N.2.HL.TZ0.B2Part2.a: Explain how these maxima and minima are formed.
- 10N.2.HL.TZ0.B2Part2.b: (i) wavelength of the microwaves. (ii) frequency of the microwaves.
- 10N.2.HL.TZ0.B2Part2.c: Describe and explain how it could be demonstrated that the microwaves are polarized.
- 10N.3.SL.TZ0.G1a: (i) monochromatic. (ii) coherent.
- 16M.1.SL.TZ0.17: A light ray...
- 16N.1.SL.TZ0.15: A light ray is incident on an air–diamond boundary. The refractive index of diamond is greater...
- 16N.1.SL.TZ0.16: A spring XY lies on a frictionless table with the end Y free. A horizontal pulse travels along...
- 16N.1.HL.TZ0.15: Which diagram shows the shape of the wavefront as a result of the diffraction of plane waves by...
- 17M.1.SL.TZ1.15: Two pulses are travelling towards each other. What is a possible pulse shape when the pulses...
- 17M.1.SL.TZ1.17: When a sound wave travels from a region of hot air to a region of cold air, it refracts as...
- 17M.2.SL.TZ1.2b: Red laser light is incident on a double slit with a slit separation of 0.35 mm.A double-slit...
- 17M.2.SL.TZ1.2c: Explain the change to the appearance of the interference pattern when the red-light laser is...
- 17M.2.SL.TZ1.2d: One of the slits is now covered. Describe the appearance of the pattern on the screen.
- 17M.2.SL.TZ2.3a: Explain, with reference to the light passing through the slits, why a series of voltage peaks...
- 17M.2.SL.TZ2.3b.i: The slits are separated by 1.5 mm and the laser light has a wavelength of 6.3 x 10–7 m. The slits...
- 17N.1.SL.TZ0.15: The refractive index for light travelling from medium X to medium Y is \(\frac{4}{3}\). The...
- 17N.2.SL.TZ0.4a.i: Calculate the speed of light inside the ice cube.
- 17N.2.SL.TZ0.4a.ii: Show that no light emerges from side AB.
- 17N.2.SL.TZ0.4a.iii: Sketch, on the diagram, the subsequent path of the light ray.
- 18M.1.SL.TZ1.15: The diagram shows an interference pattern produced by two sources that oscillate on the surface...
- 18M.2.SL.TZ1.3a.ii: The wavelength of the beam as observed on Earth is 633.0 nm. The separation between a dark and a...
- 18M.2.SL.TZ1.3b.i: Calculate the wavelength of the light in water.
- 18M.2.SL.TZ1.3b.ii: State two ways in which the intensity pattern on the screen changes.
- 18M.1.SL.TZ2.16: What are the changes in the speed and in the wavelength of monochromatic light when the light...
- 18M.1.SL.TZ2.18: A pair of slits in a double slit experiment are illuminated with monochromatic light...
- 18M.2.SL.TZ2.3b.i: The speed of sound in air is 340 m s–1 and in water it is 1500 m s–1. The wavefronts make an...
- 18M.2.SL.TZ2.3b.ii: Draw lines on the diagram to complete wavefronts A and B in water for θ < θmax.
- 18M.1.HL.TZ1.13: A ray of light passes from the air into a long glass plate of refractive index n at an angle θ to...
4.5 – Standing waves
- 15M.1.HL.TZ1.13: A standing (stationary) wave is set up on a stretched string. The diagram below shows the string...
- 15M.1.HL.TZ2.13: A standing sound wave is set up inside a narrow glass tube which has both ends open. The first...
- 15M.3.SL.TZ1.2a: State the name given to point X on the string.
- 15M.3.SL.TZ1.2b: (i) Calculate the speed of the wave along the string. (ii) Calculate the frequency of the...
- 15M.3.SL.TZ2.2a: A thin tube is immersed in a container of water. A length L of the tube extends above the surface...
- 15M.3.SL.TZ2.2b: The diagram shows an enlarged view of the tube shown in (a). X, Y and Z are three molecules of...
- 14M.1.HL.TZ1.17: The diagram shows the fundamental (first harmonic) of a standing (stationary) sound wave in a...
- 14M.1.HL.TZ2.16: The lowest frequency emitted by an organ pipe that is open at both ends is f. What is the lowest...
- 15N.1.HL.TZ0.13: A standing (stationary) wave is set up on a string at a particular frequency as shown. How...
- 14M.3.SL.TZ1.2a: On leaving the station, the train blows its horn. Both the first harmonic and the next highest...
- 14M.3.SL.TZ1.2b: (i) Describe what is meant by the Doppler effect. (ii) The train approaches a stationary...
- 15N.3.SL.TZ0.2a.i: Show that there must be a node at a distance of 0.18 m from the closed end of the pipe.
- 15N.3.SL.TZ0.2a.ii: Calculate the frequency of the whistle sound.
- 15N.3.SL.TZ0.2b: The train is moving directly away from a stationary observer at a speed of...
- 14N.1.HL.TZ0.13: A string is made to vibrate at its third harmonic. The diagram shows two points P and Q at a...
- 14N.3.SL.TZ0.2a: Outline whether the standing wave is transverse or longitudinal.
- 14N.3.SL.TZ0.2b: The standing wave in the tube corresponds to the fourth harmonic. The speed of sound in the tube...
- 14N.3.SL.TZ0.2c: The tube is now closed at one end and the first harmonic is sounded. Outline why the tube that is...
- 14M.2.HL.TZ2.4a: (i) State the direction of oscillation of an air molecule at point P. (ii) Compare the...
- 14M.2.HL.TZ2.4b: A hollow pipe open at both ends is suspended just above the ground on a construction...
- 14M.2.HL.TZ2.4c: The pipe is held stationary by the crane and an observer runs towards the pipe. Outline how the...
- 11N.1.HL.TZ0.15: A standing wave is established on a string between two fixed points. What is the phase...
- 12N.1.HL.TZ0.16: P and Q are two points on a standing wave. R and S are two points on a progressive (travelling)...
- 13N.1.HL.TZ0.13: The diagrams show four different organ pipes drawn to scale. Standing waves in the fundamental...
- 13M.1.HL.TZ1.13: A standing wave of frequency ƒ is established in air in a pipe open at one end, as...
- 12M.1.HL.TZ1.12: A transverse standing wave is established on a string. Consider the following phase...
- 13M.3.SL.TZ1.3a: Describe the formation of standing waves in a string fixed at both ends.
- 13M.3.SL.TZ1.3b: The length of the string is 0.64 m. Calculate the velocity of the wave in the string.
- 11M.1.HL.TZ2.15: A string...
- 13M.1.HL.TZ2.16: The air in a pipe, of length l and open at both ends, vibrates with a fundamental frequency f....
- 11M.2.HL.TZ2.13d: The string in (c) is fixed at both ends and...
- 12M.3.SL.TZ1.2a: A string is fixed at one end and the other free end is moved up and down. Explain how a standing...
- 12M.3.SL.TZ1.2b: The diagram shows a string vibrating in its first harmonic mode. Both endsof the string are...
- 11M.3.SL.TZ2.1a: For this standing wave (i) state the relationship between λ and L. (ii) label, on the diagram,...
- 11M.3.SL.TZ2.1b: The standing wave has wavelength λ and frequency f. State and explain, with respect to a standing...
- 12M.3.SL.TZ2.2a: State one way in which a standing wave differs from a travelling (progressive) wave.
- 12M.3.SL.TZ2.2b: A loudspeaker connected to a signal generator is placed in front of the open end of a...
- 12M.3.SL.TZ2.2c: The frequency of sound is continuously increased above 92.0Hz. Calculate the frequency at which...
- 11N.3.SL.TZ0.2a: The diagram shows an organ pipe that is open at both ends. The pipe is emitting its lowest...
- 11N.3.SL.TZ0.2b: The length of the pipe in (a) is 1.5 m. An organ pipe that is closed at one end has the same...
- 11M.1.HL.TZ1.13: The fundamental (first harmonic) frequency for a particular organ pipe is 330 Hz. The pipe...
- 11M.1.HL.TZ1.14: Light is diffracted at a single slit. Which of the following graphs best represents how the...
- 11M.3.SL.TZ1.1a: Describe two ways that standing waves are different from travelling waves.
- 11M.3.SL.TZ1.1b: An experiment is carried out to measure the speed of sound in air, using the apparatus shown...
- 11M.3.SL.TZ1.1c: The tube is raised until the loudness of the sound reaches a maximum for a second time. Between...
- 09M.1.HL.TZ1.16: The wavelength of a standing (stationary) wave is equal to A. the distance between adjacent...
- 09N.1.HL.TZ0.18: Which of the following is a correct comparison between standing waves and travelling waves?
- 10N.1.HL.TZ0.15: A standing wave is established in air in a pipe with one closed and one open end. The air...
- 10N.3.SL.TZ0.A3a: State one way in which a standing wave differs from a travelling wave.
- 10N.3.SL.TZ0.A3b: (i) first harmonic frequency \({f_1}\). (ii) second harmonic frequency \({f_2}\).
- 10N.3.SL.TZ0.A3c: Use your answer to (b) to deduce an expression for the ratio \(\frac{{{f_1}}}{{{f_2}}}\).
- 10N.3.SL.TZ0.A3d: State, in terms of the boundary conditions of the standing waves that can be formed in the pipe,...
- 16M.3.HL.TZ0.7a: Outline what is meant by a black hole.
- 16M.1.SL.TZ0.16: A pipe of length L...
- 16M.2.HL.TZ0.4d: The travelling wave in (b) is directed at the open end of a tube of length 1.20 m. The other end...
- 17M.1.SL.TZ1.15: Two pulses are travelling towards each other. What is a possible pulse shape when the pulses...
- 17M.1.HL.TZ1.15: Water is draining from a vertical tube that was initially full. A vibrating tuning fork is held...
- 17M.1.SL.TZ2.17: The frequency of the first harmonic standing wave in a pipe that is open at both ends is 200...
- 17M.2.SL.TZ2.3c: In another experiment the student replaces the light sensor with a sound sensor. The train...
- 17M.2.HL.TZ2.4d: In another experiment the student replaces the light sensor with a sound sensor. The train...
- 17N.1.SL.TZ0.16: A pipe of fixed length is closed at one end. What...
- 17N.1.HL.TZ0.14: The diagram shows a second harmonic standing wave on a string fixed at both ends. What is the...
- 18M.1.SL.TZ1.13: A first-harmonic standing wave is formed on a vertical string of length 3.0 m using a vibration...
- 18M.2.SL.TZ2.3a.i: Outline how the standing wave is formed.
- 18M.2.SL.TZ2.3a.ii: Draw an arrow on the diagram to represent the direction of motion of the molecule at X.
- 18M.2.SL.TZ2.3a.iii: Label a position N that is a node of the standing wave.
- 18M.2.SL.TZ2.3a.iv: The speed of sound is 340 m s–1 and the length of the pipe is 0.30 m. Calculate, in Hz, the...
- 18M.1.HL.TZ2.13: A string stretched between two fixed points sounds its second harmonic at frequency f. ...