DP Physics Questionbank
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Topic 9: Wave phenomena
Description
Overview of the essential ideas for this topic.
9.1: The solution of the harmonic oscillator can be framed around the variation of kinetic and potential energy in the system.
9.2: Single-slit diffraction occurs when a wave is incident upon a slit of approximately the same size as the wavelength.
9.3: Interference patterns from multiple slits and thin films produce accurately repeatable patterns.
9.4: Resolution places an absolute limit on the extent to which an optical or other system can separate images of objects.
9.5: The Doppler effect describes the phenomenon of wavelength/frequency shift when relative motion occurs.
Directly related questions
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- 17N.2.HL.TZ0.6a.iii: Calculate the separation of the two slits.
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- 17N.2.HL.TZ0.6a.i: Explain why zero intensity is observed at position A.
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- 17N.1.HL.TZ0.30: A stationary sound source emits waves of wavelength \(\lambda \) and speed v. The source now...
- 17N.1.HL.TZ0.29: A transparent liquid forms a parallel-sided thin film in air. The diagram shows a ray I incident...
- 17N.1.HL.TZ0.28: Monochromatic light is incident on two identical slits to produce an interference pattern on a...
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- 16M.1.HL.TZ0.35: Which of the following...
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- 10N.3.SL.TZ0.A2b: Points P and Q are on the circumference of a planet as shown. By considering the two points,...
- 10N.3.SL.TZ0.A2a: (i) On the axes below, sketch a graph to show how the intensity of the light on the screen...
- 10N.3.HL.TZ0.G5c: In the diagram, the length of the slides is 5.00 cm. The wavelength of the monochromatic light is...
- 10N.3.HL.TZ0.G5b: The condition that a bright fringe is observed in the field of view of the travelling microscope...
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- 10M.1.HL.TZ1.20: A beam of coherent light is incident on a single slit of width \(b\). After passing through the...
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- 17M.1.HL.TZ2.28: Two points illuminated by monochromatic light are separated by a small distance. The light...
- 17M.1.HL.TZ2.27: Blue light is incident on two narrow slits. Constructive interference takes place along the lines...
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- 17M.1.HL.TZ1.27: For fringes to be observed in a double-slit interference experiment, the slits must emit waves...
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- 18M.2.HL.TZ2.5c: The slit separation is increased. Outline one change observed on the screen.
- 18M.2.HL.TZ2.5b: Monochromatic light from a single source is incident on two thin, parallel slits. The...
- 18M.2.HL.TZ2.5a: Monochromatic light from two identical lamps arrives on a screen. ...
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- 18M.2.HL.TZ2.1d.ii: Show that the period of oscillation of the ball is about 6 s.
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- 18M.1.HL.TZ2.26: A beam of monochromatic light is incident on a diffraction grating of N lines per unit...
- 18M.1.HL.TZ2.25: A beam of monochromatic light is incident on a single slit and a diffraction pattern forms on the...
- 18M.1.HL.TZ2.24: A simple pendulum bob oscillates as shown. ...
- 18M.3.HL.TZ1.11b.i: determine the initial energy.
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- 18M.2.HL.TZ1.3b.ii: Deduce, in mm, the width of one slit.
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- 18M.2.HL.TZ1.1e.i: Calculate the time taken for the block to return to the equilibrium position for the first time.
- 18M.1.HL.TZ1.29: Two lines X and Y in the emission spectrum of hydrogen gas are measured by an observer stationary...
- 18M.1.HL.TZ1.28: Monochromatic light is incident on 4 rectangular, parallel slits. The first principal maximum is...
- 18M.1.HL.TZ1.27: Monochromatic light of wavelength λ in air is incident normally on a thin film of refractive...
- 18M.1.HL.TZ1.26: A mass at the end of a vertical spring and a simple pendulum perform oscillations on Earth that...
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- 16N.1.HL.TZ0.29: A diffraction grating is used to observe light of wavelength 400 nm. The light illuminates 100...
- 16N.1.HL.TZ0.28: Light of wavelength λ is incident normally on a diffraction grating that has a slit separation...
- 16N.1.HL.TZ0.27: Monochromatic light is incident on a double slit. Both slits have a finite width. The light then...
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- 16M.1.HL.TZ0.25: A train moves at constant speed whilst emitting a sound wave of frequency f0. At t=t0...
- 16M.1.HL.TZ0.24: A simple pendulum has mass M and length l. The period of oscillation of the pendulum is T....
- 16M.1.HL.TZ0.23: In a double-slit interference experiment, the following...
- 16M.1.HL.TZ0.22: A single-slit diffraction experiment is performed using light of different colours. The width of...
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- 09M.1.HL.TZ1.18: A parallel beam of monochromatic light of wavelength \(\lambda \) passes through a slit of width...
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- 14M.3.SL.TZ2.19a: Outline what is meant by the term (i) coherent. (ii) monochromatic.
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- 14M.3.SL.TZ2.3a: State the Rayleigh criterion.
- 14M.3.SL.TZ2.2b: (i) Determine the minimum frequency of the sound heard by the observer. (ii) Describe...
- 14M.3.SL.TZ2.2a: Describe what is meant by the Doppler effect.
- 14M.2.SL.TZ2.5b: (i) Using the graph on page 14, show that the frequency of the note being played is about 200...
- 14M.2.SL.TZ2.5a: Explain why the graph shows that the stylus undergoes simple harmonic motion.
- 14M.3.HL.TZ2.14b: Describe the change in the intensity of the reflected light as the thickness of the oil layer in...
- 14M.3.HL.TZ2.14a: Determine the minimum thickness of the oil layer that gives rise to the least amount of light...
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- 14N.3.SL.TZ0.3b: Determine the speed of the mosquito.
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- 14N.2.SL.TZ0.5a.iii: Calculate the period of oscillation of the mass.
- 14N.2.SL.TZ0.5a.ii: Outline why the mass subsequently performs simple harmonic motion (SHM).
- 14N.2.SL.TZ0.5a.i: Determine the acceleration of the mass at the moment of release.
- 14N.3.HL.TZ0.15b: When white light is normally incident on the surface of the oil, the film appears green to an...
- 14N.3.HL.TZ0.15a: Explain why the film of oil appears to show coloured fringes.
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- 15N.3.SL.TZ0.3c: Two lamps emit light of wavelength 620 nm. The lights are observed through a circular aperture of...
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- 15N.3.HL.TZ0.11a: Calculate the wavelength of the light within the soap solution.
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- 15M.2.SL.TZ2.5c: The graph shows the variation of the potential energy of A with displacement. On the...
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- 15M.3.SL.TZ1.3a: On the diagram, sketch three successive wavefronts produced when S is moving to the left at a...
- 15M.3.HL.TZ1.13a: Outline the process by which coloured fringes are formed.
- 15M.3.SL.TZ2.3a: Estimate the width of the slit.
- 15M.3.SL.TZ2.21a: Explain why an interference pattern is produced on the screen.
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- 15M.3.SL.TZ2.3b: On the graph, sketch the variation of the relative intensity with θ when the wavelength of the...
- 15M.3.SL.TZ2.3c: State and explain, with reference to your sketch in (b), whether it is easier to resolve two...
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- 14M.1.SL.TZ2.14: A particle executes simple harmonic motion (SHM) with period T. Which sketch graph correctly...
- 14M.1.HL.TZ2.17: The diagram shows a train travelling in a straight line at constant speed v, as it approaches the...
- 14M.1.HL.TZ2.18: A parallel beam of coherent light of wavelength λ is incident on a rectangular slit of width d....
- 14M.2.HL.TZ1.4a: (i) Explain, using a diagram, why \(f'\) is greater than \(f\). (ii) The frequency \(f\) is 275...
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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.TZ1.2b: (i) Describe what is meant by the Doppler effect. (ii) The train approaches a stationary...
- 14M.3.HL.TZ1.13a: Calculate the wavelength of the light.
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- 14N.1.HL.TZ0.10: A body moves with simple harmonic motion (SHM) with period T and total energy ET. What is the...
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- 11M.1.SL.TZ2.12: A particle oscillates with simple...
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- 12M.1.HL.TZ2.18: A coherent beam of light of wavelength λ is incident on a double slit. The width of the slits is...
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- 13M.1.SL.TZ2.13: An object undergoes simple harmonic motion with time period T and amplitude 0.5 m. At time t = 0...
- 12M.2.SL.TZ2.5a: One end of a light spring is attached to a rigid horizontal support. An object W of mass 0.15...
- 13M.1.HL.TZ2.15: A stationary source of sound emits sound of frequency f. A moving observer measures the sound as...
- 13M.1.HL.TZ2.17: An optical instrument is used to observe an object illuminated with monochromatic light. Which of...
- 11M.2.SL.TZ2.4c: A wave is travelling along a string. The string can be modelled as...
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- 11M.2.HL.TZ2.13b: A liquid is contained in a U-tube. The...
- 13M.3.HL.TZ1.13a: State what phase change occurs on reflection at the air-coating boundary and at the coating-glass...
- 13M.3.HL.TZ1.13b: The thickness d of the coating layer is 110 nm. Determine the wavelength for which there is no...
- 13M.3.HL.TZ2.14a: A ray of monochromatic light is incident on a thin film of soap water that is suspended in air....
- 13M.3.HL.TZ2.14b: White light is incident normally on the soap film. The thickness d of the soap film is 225 nm and...
- 12M.2.SL.TZ1.7d: (i) On the diagram below, draw lines to represent the gravitational field around the planet...
- 12M.2.SL.TZ1.6c: (i) On the axes below, sketch a graph to show how the velocity of the mass varies withtime from...
- 12M.2.SL.TZ1.6d: The period of oscillation is 0.20s and the distance from A to B is 0.040m. Determine the maximum...
- 12M.2.SL.TZ1.6b: (i) On the axes below, sketch a graph to show how the acceleration of the mass varies with...
- 12M.2.HL.TZ1.4a: Calculate the frequency measured by an observer when (i) the observer is stationary and the...
- 12M.2.HL.TZ1.4b: When both source and observer are stationary the wavelength is λ0 and the wavespeed is v0. In...
- 12M.3.SL.TZ1.3a: Describe the Doppler effect.
- 12M.2.HL.TZ2.12a: Radio telescopes can be used to locate distant galaxies. The ability of such telescopes to...
- 12M.2.HL.TZ2.12b: Due to the Doppler effect, light from distant galaxies is often red-shifted. (i) Describe, with...
- 12M.3.SL.TZ1.3b: A spectral line from a source on Earth has a frequency of 4.672×1014 Hz. When this same line is...
- 11N.2.HL.TZ0.9b: An advertising sign contains two straight vertical sections that emit light. The vertical...
- 12M.3.SL.TZ2.3a: State what is meant by resolved in this context.
- 11N.2.SL.TZ0.6c: Marker P undergoes simple harmonic motion. The amplitude of the wave is 1.7×10–2m and the mass of...
- 12M.3.SL.TZ2.3b: The wavelength of the light from the two sources is 528 nm. The distance of the two sources from...
- 11N.2.HL.TZ0.9a: (i) State the wave phenomenon that limits the resolution of the eye. (ii) State the Rayleigh...
- 12N.3.SL.TZ0.2b: The frequency of the note emitted by the siren is 400 Hz. After the fire engine has passed, the...
- 12N.3.SL.TZ0.20a: State the condition necessary to observe interference between two light sources.
- 11N.3.SL.TZ0.3a: Light from a monochromatic point source S1 is incident on a narrow, rectangular slit. After...
- 11N.3.HL.TZ0.10b: State and explain how the fringe separation changes if the angle of the wedge is increased slightly.
- 11N.3.SL.TZ0.3b: Judy looks at two point sources identical to the source S1 in (a). The distance between the...
- 11N.3.SL.TZ0.17b: The number of slits is now increased. State and explain the effect, if any, this has on the...
- 11N.3.HL.TZ0.10a: Outline how the fringes are formed.
- 12N.2.SL.TZ0.6d: The graph below shows the variation of the velocity v with time t for one oscillating particle of...
- 12N.2.HL.TZ0.3b: The laser in (a) is replaced by two identical lasers so that the light from both lasers...
- 12N.2.HL.TZ0.3c: Compare the appearance of a single-slit diffraction pattern formed by laser light to that formed...
- 12N.3.SL.TZ0.2a: A fire engine is travelling at a constant velocity towards a stationary observer. Its siren emits...
- 12N.3.SL.TZ0.20b: The diagram below shows an arrangement for observing a double slit interference pattern. A...
- 12N.2.HL.TZ0.3a: Light of wavelength 620 nm from a laser is incident on a single rectangular slit of width 0.45...
- 12N.3.SL.TZ0.4: This question is about resolution. A car is travelling along a straight road at night. To a...
- 12N.3.SL.TZ0.20c: The slits in (b) are replaced by a large number of slits of the same width and separation as the...
- 13N.2.HL.TZ0.7h: The star X has a companion star Y. The distance from Earth to the stars is 1.0×1018m. The images...
- 12M.3.SL.TZ2.19b: Suggest why, even though there are dark fringes in the pattern, no energy is lost.
- 13N.2.HL.TZ0.7f: Describe what is meant by the Doppler effect.
- 12M.3.HL.TZ2.12a: Show that when θ=0 the condition for destructive interference between rays X and Y...
- 12M.3.HL.TZ2.12b: Light of wavelength 640 nm in air is incident normally on the glass surface. (i) Show that the...
- 13N.2.HL.TZ0.7g: One of the lines in the spectrum of atomic hydrogen has a frequency of 4.6×1016Hz as measured in...
- 13N.3.HL.TZ0.11a: An observer viewing the microscope slide at near-normal incidence measures the fringe spacing to...
- 13N.3.SL.TZ0.2b: An ambulance is travelling at a speed of 28.0 ms–1 along a straight road. Its siren emits a...
- 13N.3.SL.TZ0.3b: A car is travelling at night along a straight road. Diane is walking towards the car. She sees...
- 13N.3.SL.TZ0.2a: Describe what is meant by the Doppler effect as it relates to sound.
- 13N.3.SL.TZ0.3a: Two point sources S1 and S2 emit monochromatic light of the same wavelength. The light is...
- 11M.1.HL.TZ1.15: Light of wavelength λ is emitted by two point sources. The light passes through a circular...
- 11M.2.SL.TZ1.5a: For particle P, (i) state how graph 1 shows that its oscillations are not damped. (ii)...
- 11M.3.SL.TZ1.2a: Explain, using a diagram, any difference between ƒ and ƒ'.
- 11M.3.SL.TZ1.2b: The frequency ƒ is 3.00×102Hz. An observer moves towards the stationary car at a constant speed...
- 11M.3.SL.TZ1.21a: Determine the angular separation of the two lines when viewed in the second order spectrum.
- 11M.3.SL.TZ1.21b: State why it is more difficult to observe the double yellow line when viewed in the first order...
- 11M.3.HL.TZ1.15a: Deduce that the thickness of the air wedge t that gives rise to a bright fringe, is given by...
- 11M.3.HL.TZ1.15b: The length of the air wedge, L, is 8.2 cm. The bright fringes are each separated by a distance of...
Sub sections and their related questions
9.1 – Simple harmonic motion
- 15M.1.SL.TZ2.12: The bob of a pendulum has an initial displacement \(x\)0 to the right. The bob is released and...
- 15M.2.SL.TZ1.5d: D has mass 6.5 \( \times \) 10−3 kg and vibrates with amplitude 0.85 mm. (i) Calculate the...
- 15M.2.SL.TZ2.5a: Show that \({\omega ^2} = \frac{k}{m}\).
- 15M.2.SL.TZ2.5b: One cycle of the variation of displacement with time is shown for two separate mass–spring...
- 15M.2.SL.TZ2.5c: The graph shows the variation of the potential energy of A with displacement. On the...
- 14M.1.SL.TZ1.19: A small point mass m is placed at the same distance from two identical fixed spherical masses far...
- 14M.1.SL.TZ2.13: A particle P executes simple harmonic motion (SHM) about its equilibrium position Y. The...
- 14M.1.SL.TZ2.14: A particle executes simple harmonic motion (SHM) with period T. Which sketch graph correctly...
- 15N.1.SL.TZ0.12: The period of a particle undergoing simple harmonic motion (SHM) is \(T\). The ratio...
- 15N.1.SL.TZ0.13: A particle of mass \(m\) oscillates with simple harmonic motion (SHM) of angular frequency...
- 15N.2.SL.TZ0.3b: X has a mass of 0.28 kg. Calculate the maximum force acting on X.
- 15N.2.SL.TZ0.3c: Determine the maximum displacement of X. Give your answer to an appropriate number of significant...
- 14N.1.SL.TZ0.15: A particle undergoes simple harmonic motion (SHM) of maximum kinetic energy Emax and amplitude...
- 14N.1.HL.TZ0.10: A body moves with simple harmonic motion (SHM) with period T and total energy ET. What is the...
- 14N.2.SL.TZ0.5a.i: Determine the acceleration of the mass at the moment of release.
- 14N.2.SL.TZ0.5a.ii: Outline why the mass subsequently performs simple harmonic motion (SHM).
- 14N.2.SL.TZ0.5a.iii: Calculate the period of oscillation of the mass.
- 14N.2.SL.TZ0.5b.i: Estimate the maximum kinetic energy of the ion.
- 14N.2.SL.TZ0.5b.ii: On the axes, draw a graph to show the variation with time of the kinetic energy of mass and the...
- 14M.2.HL.TZ2.7c.i: The mass of the stylus is \(5.5 \times {10^{ - 4}}{\text{ kg}}\). Determine the maximum kinetic...
- 14M.2.SL.TZ2.5a: Explain why the graph shows that the stylus undergoes simple harmonic motion.
- 14M.2.SL.TZ2.5b: (i) Using the graph on page 14, show that the frequency of the note being played is about 200...
- 11N.1.SL.TZO.13: The equation for the velocity of an object performing simple harmonic motion is...
- 12N.1.SL.TZ0.15: An object undergoes simple harmonic motion. Which graph shows the relationship between the...
- 12N.1.HL.TZ0.13: An object undergoes simple harmonic motion. Which graph shows the relationship between the...
- 13M.2.SL.TZ1.6b: (i) Determine the maximum speed of the object. (ii) Determine the acceleration of the object at...
- 13M.2.SL.TZ1.6c: The graph below shows how the displacement of the object varies with time. Sketch on the same...
- 12M.1.SL.TZ2.12: A particle undergoing simple harmonic motion (SHM) oscillates with time period T and angular...
- 12M.1.SL.TZ2.13: A particle is undergoing simple harmonic motion (SHM) in a horizontal plane. The total...
- 12M.1.SL.TZ1.12: An object is undergoing simple harmonic motion (SHM) about a fixed point P. The magnitude of its...
- 12M.1.SL.TZ1.13: An object undergoes simple harmonic motion (SHM). The total energy of the object is proportional...
- 11M.1.SL.TZ2.12: A particle oscillates with simple...
- 11M.1.SL.TZ2.15: Two waves meet at a point. The waves have a path difference of \(\frac{\lambda }{4}\). The phase...
- 13M.2.SL.TZ2.8b: The graph shows how the displacement x of the piston P in (a) from equilibrium varies with time...
- 11M.1.HL.TZ2.14: Two waves meet at a...
- 13M.1.SL.TZ2.12: Which graph shows how velocity v varies with displacement x of a system moving with simple...
- 13M.1.SL.TZ2.13: An object undergoes simple harmonic motion with time period T and amplitude 0.5 m. At time t = 0...
- 12M.2.SL.TZ2.5a: One end of a light spring is attached to a rigid horizontal support. An object W of mass 0.15...
- 11M.2.SL.TZ2.4b: A liquid is contained in a U-tube. The pressure on the...
- 11M.2.SL.TZ2.4c: A wave is travelling along a string. The string can be modelled as...
- 11M.2.HL.TZ2.13b: A liquid is contained in a U-tube. The...
- 12M.2.SL.TZ1.6b: (i) On the axes below, sketch a graph to show how the acceleration of the mass varies with...
- 12M.2.SL.TZ1.6c: (i) On the axes below, sketch a graph to show how the velocity of the mass varies withtime from...
- 12M.2.SL.TZ1.6d: The period of oscillation is 0.20s and the distance from A to B is 0.040m. Determine the maximum...
- 12M.2.SL.TZ1.7d: (i) On the diagram below, draw lines to represent the gravitational field around the planet...
- 11N.2.SL.TZ0.6c: Marker P undergoes simple harmonic motion. The amplitude of the wave is 1.7×10–2m and the mass of...
- 12N.2.SL.TZ0.6d: The graph below shows the variation of the velocity v with time t for one oscillating particle of...
- 11M.2.SL.TZ1.5a: For particle P, (i) state how graph 1 shows that its oscillations are not damped. (ii)...
- 09M.1.SL.TZ1.13: A mass on the end of a horizontal spring is displaced from its equilibrium position by a distance...
- 10N.1.SL.TZ0.12: Which of the following is the correct expression for the displacement \(x\)? A. ...
- 10N.1.SL.TZ0.13: Which of the following is the correct expression for the maximum acceleration of the object? A....
- 10N.2.SL.TZ0.B1Part1.c: (i) Show that the speed of the pendulum bob at the midpoint of the oscillation is...
- 16M.1.HL.TZ0.21: A mass is connected to a spring on a frictionless horizontal surface as shown. The...
- 16M.1.HL.TZ0.24: A simple pendulum has mass M and length l. The period of oscillation of the pendulum is T....
- 16M.1.HL.TZ0.35: Which of the following...
- 16M.2.HL.TZ0.4c: One particle in the medium has its equilibrium position at x=1.00 m. (i) State and explain the...
- 16N.1.HL.TZ0.26: A particle is oscillating with simple harmonic motion (shm) of amplitude x0 and maximum kinetic...
- 17M.1.HL.TZ1.26: A pendulum oscillating near the surface of the Earth swings with a time period T. What is the...
- 17M.2.HL.TZ1.7a: Describe the conditions required for an object to perform simple harmonic motion (SHM).
- 17M.2.HL.TZ1.7b: Calculate the mass of the wooden block.
- 17M.2.HL.TZ1.7c: In carrying out the experiment the student displaced the block horizontally by 4.8 cm from the...
- 17M.2.HL.TZ1.7d: A second identical spring is placed in parallel and the experiment in (b) is repeated. Suggest...
- 17M.1.HL.TZ2.26: A mass oscillates with simple harmonic motion (SHM) of amplitude xo. Its total energy is 16...
- 17M.2.HL.TZ2.2b.i: A wave of amplitude 4.3 m and wavelength 35 m, moves with a speed of 3.4 m s–1. Calculate the...
- 17M.2.HL.TZ2.2b.ii: Sketch a graph to show the variation with time of the generator output power. Label the time axis...
- 17N.1.HL.TZ0.27: A spring loaded with mass m oscillates with simple harmonic motion. The amplitude of the motion...
- 17N.2.HL.TZ0.2f.i: Estimate the value of k in the following expression. T = \(2\pi \sqrt {\frac{m}{k}} \) Give an...
- 17N.2.HL.TZ0.2f.ii: Describe the energy changes in the satellite Y-cable system during one cycle of the oscillation.
- 18M.1.HL.TZ1.26: A mass at the end of a vertical spring and a simple pendulum perform oscillations on Earth that...
- 18M.2.HL.TZ1.1e.i: Calculate the time taken for the block to return to the equilibrium position for the first time.
- 18M.2.HL.TZ1.1e.ii: Calculate the speed of the block as it passes the equilibrium position.
- 18M.3.HL.TZ1.11b.i: determine the initial energy.
- 18M.1.HL.TZ2.24: A simple pendulum bob oscillates as shown. ...
- 18M.2.HL.TZ2.1d.ii: Show that the period of oscillation of the ball is about 6 s.
- 18M.2.HL.TZ2.1d.iii: The amplitude of oscillation is 0.12 m. On the axes, draw a graph to show the variation with time...
9.2 – Single-slit diffraction
- 15M.2.HL.TZ2.4c: The apparatus is arranged to demonstrate diffraction effects. The microwaves emerge from the...
- 15M.3.SL.TZ2.3a: Estimate the width of the slit.
- 15M.3.SL.TZ2.3b: On the graph, sketch the variation of the relative intensity with θ when the wavelength of the...
- 15M.3.SL.TZ2.3c: State and explain, with reference to your sketch in (b), whether it is easier to resolve two...
- 14M.1.HL.TZ2.18: A parallel beam of coherent light of wavelength λ is incident on a rectangular slit of width d....
- 13N.1.HL.TZ0.15: The intensity distribution of monochromatic light passing through a narrow slit and then incident...
- 12M.1.HL.TZ1.13: Which of the following would be diffracted the most when incident on a slit of width 1 cm? A....
- 11N.2.HL.TZ0.9b: An advertising sign contains two straight vertical sections that emit light. The vertical...
- 11N.3.SL.TZ0.3a: Light from a monochromatic point source S1 is incident on a narrow, rectangular slit. After...
- 12N.2.HL.TZ0.3a: Light of wavelength 620 nm from a laser is incident on a single rectangular slit of width 0.45...
- 12N.2.HL.TZ0.3c: Compare the appearance of a single-slit diffraction pattern formed by laser light to that formed...
- 09M.1.HL.TZ1.18: A parallel beam of monochromatic light of wavelength \(\lambda \) passes through a slit of width...
- 10M.1.HL.TZ1.20: A beam of coherent light is incident on a single slit of width \(b\). After passing through the...
- 10N.3.SL.TZ0.A2a: (i) On the axes below, sketch a graph to show how the intensity of the light on the screen...
- 16M.1.HL.TZ0.22: A single-slit diffraction experiment is performed using light of different colours. The width of...
- 16M.1.HL.TZ0.35: Which of the following...
- 16M.2.HL.TZ0.10b: The width of each slit is 1.0μm. Use the graph to (i) estimate the wavelength of light. (ii)...
- 16M.2.HL.TZ0.10c: The arrangement is modified so that the number of slits becomes very large. Their separation and...
- 17N.2.HL.TZ0.6a.iii: Calculate the separation of the two slits.
- 18M.1.HL.TZ2.25: A beam of monochromatic light is incident on a single slit and a diffraction pattern forms on the...
9.3 – Interference
- 15M.3.HL.TZ1.13a: Outline the process by which coloured fringes are formed.
- 15M.3.HL.TZ1.13b: The following data are available: Refractive index of oil = 1.4Refractive index of water =...
- 15M.3.SL.TZ2.21a: Explain why an interference pattern is produced on the screen.
- 15M.3.SL.TZ2.21b: The two slits are separated by 2.2 mm and the distance from the slits to the screen is 1.8 m. The...
- 15N.3.HL.TZ0.11a: Calculate the wavelength of the light within the soap solution.
- 15N.3.HL.TZ0.11b: Calculate the minimum thickness of the soap film that results in constructive interference for...
- 15N.3.HL.TZ0.11c: Without a calculation, explain why a soap film that is twice as thick as that calculated in (b)...
- 14M.3.HL.TZ1.13a: Calculate the wavelength of the light.
- 14M.3.HL.TZ1.13b: The upper glass plate is now replaced with a curved glass plate. The dotted line represents the...
- 14N.1.HL.TZ0.16: Radiation is incident on a single rectangular slit. The diffracted beam that emerges from the...
- 14N.3.HL.TZ0.15a: Explain why the film of oil appears to show coloured fringes.
- 14N.3.HL.TZ0.15b: When white light is normally incident on the surface of the oil, the film appears green to an...
- 14M.3.HL.TZ2.14a: Determine the minimum thickness of the oil layer that gives rise to the least amount of light...
- 14M.3.HL.TZ2.14b: Describe the change in the intensity of the reflected light as the thickness of the oil layer in...
- 14M.3.SL.TZ2.19a: Outline what is meant by the term (i) coherent. (ii) monochromatic.
- 14M.3.SL.TZ2.19b: State the phase difference between the light waves from the two slits that meet at B.
- 14M.3.SL.TZ2.19c: (i) Show that the laser produces light of wavelength equal to 720 nm. (ii) State the...
- 13M.1.HL.TZ1.15: A parallel beam of monochromatic light of wavelength λ passes through a slit of width b and forms...
- 12M.1.HL.TZ2.18: A coherent beam of light of wavelength λ is incident on a double slit. The width of the slits is...
- 13M.3.SL.TZ1.21a: Laser light is monochromatic and coherent. Explain what is meant by (i) monochromatic. (ii)...
- 13M.3.SL.TZ1.21b: A beam of laser light is incident normally on a diffraction grating which has 600 lines per...
- 13M.3.SL.TZ1.12c: The number of lines per millimetre in the diffraction grating in (b) is reduced. Describe the...
- 13M.3.HL.TZ1.13a: State what phase change occurs on reflection at the air-coating boundary and at the coating-glass...
- 13M.3.HL.TZ1.13b: The thickness d of the coating layer is 110 nm. Determine the wavelength for which there is no...
- 13M.3.HL.TZ2.14a: A ray of monochromatic light is incident on a thin film of soap water that is suspended in air....
- 13M.3.HL.TZ2.14b: White light is incident normally on the soap film. The thickness d of the soap film is 225 nm and...
- 11N.3.SL.TZ0.17b: The number of slits is now increased. State and explain the effect, if any, this has on the...
- 11N.3.HL.TZ0.10a: Outline how the fringes are formed.
- 11N.3.HL.TZ0.10b: State and explain how the fringe separation changes if the angle of the wedge is increased slightly.
- 12N.3.SL.TZ0.20a: State the condition necessary to observe interference between two light sources.
- 12N.3.SL.TZ0.20b: The diagram below shows an arrangement for observing a double slit interference pattern. A...
- 12N.3.SL.TZ0.20c: The slits in (b) are replaced by a large number of slits of the same width and separation as the...
- 12M.3.SL.TZ2.19b: Suggest why, even though there are dark fringes in the pattern, no energy is lost.
- 12M.3.HL.TZ2.12a: Show that when θ=0 the condition for destructive interference between rays X and Y...
- 12M.3.HL.TZ2.12b: Light of wavelength 640 nm in air is incident normally on the glass surface. (i) Show that the...
- 13N.3.HL.TZ0.11a: An observer viewing the microscope slide at near-normal incidence measures the fringe spacing to...
- 11M.3.SL.TZ1.21a: Determine the angular separation of the two lines when viewed in the second order spectrum.
- 11M.3.SL.TZ1.21b: State why it is more difficult to observe the double yellow line when viewed in the first order...
- 11M.3.HL.TZ1.15a: Deduce that the thickness of the air wedge t that gives rise to a bright fringe, is given by...
- 11M.3.HL.TZ1.15b: The length of the air wedge, L, is 8.2 cm. The bright fringes are each separated by a distance of...
- 10N.3.HL.TZ0.G5a: State why the light reflected from the two microscope slides produces a system of interference...
- 10N.3.HL.TZ0.G5b: The condition that a bright fringe is observed in the field of view of the travelling microscope...
- 10N.3.HL.TZ0.G5c: In the diagram, the length of the slides is 5.00 cm. The wavelength of the monochromatic light is...
- 10N.3.SL.TZ0.G3b: For a particular grating, the distance between adjacent slits is...
- 16M.1.HL.TZ0.23: In a double-slit interference experiment, the following...
- 16M.1.HL.TZ0.35: Which of the following...
- 16N.1.HL.TZ0.27: Monochromatic light is incident on a double slit. Both slits have a finite width. The light then...
- 16N.1.HL.TZ0.28: Light of wavelength λ is incident normally on a diffraction grating that has a slit separation...
- 17M.1.HL.TZ1.27: For fringes to be observed in a double-slit interference experiment, the slits must emit waves...
- 17M.1.HL.TZ2.27: Blue light is incident on two narrow slits. Constructive interference takes place along the lines...
- 17M.2.HL.TZ2.4c.i: Determine the width of one of the slits.
- 17M.2.HL.TZ2.4c.ii: Suggest the variation in the output voltage from the light sensor that will be observed as the...
- 17N.1.HL.TZ0.28: Monochromatic light is incident on two identical slits to produce an interference pattern on a...
- 17N.1.HL.TZ0.29: A transparent liquid forms a parallel-sided thin film in air. The diagram shows a ray I incident...
- 17N.2.HL.TZ0.6a.i: Explain why zero intensity is observed at position A.
- 17N.2.HL.TZ0.6a.ii: The distance from the centre of the pattern to A is 4.1 x 10–2 m. The distance from the screen to...
- 17N.2.HL.TZ0.6b.i: State and explain the differences between the pattern on the screen due to the grating and the...
- 18M.1.HL.TZ1.27: Monochromatic light of wavelength λ in air is incident normally on a thin film of refractive...
- 18M.1.HL.TZ1.28: Monochromatic light is incident on 4 rectangular, parallel slits. The first principal maximum is...
- 18M.2.HL.TZ1.3b.i: Calculate the angular separation between the central peak and the missing peak in the double-slit...
- 18M.2.HL.TZ1.3b.ii: Deduce, in mm, the width of one slit.
- 18M.1.HL.TZ2.26: A beam of monochromatic light is incident on a diffraction grating of N lines per unit...
- 18M.2.HL.TZ2.5a: Monochromatic light from two identical lamps arrives on a screen. ...
- 18M.2.HL.TZ2.5b: Monochromatic light from a single source is incident on two thin, parallel slits. The...
- 18M.2.HL.TZ2.5c: The slit separation is increased. Outline one change observed on the screen.
9.4 – Resolution
- 15M.1.HL.TZ1.15: The graph below shows the variation of the intensity of light with angle for the diffraction...
- 15M.1.HL.TZ2.15: Green light is emitted by two point sources. The light passes through a narrow slit and is...
- 15N.1.HL.TZ0.16: A radio telescope has a circular collecting dish of diameter 5.0 m. It is used to observe two...
- 14M.3.SL.TZ1.1a: S1 is turned on and S2 is turned off. (i) Show that the angle at which the first minimum of the...
- 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.TZ0.3b: The single narrow slit is replaced by a double narrow slit. Explain, with reference to your...
- 15N.3.SL.TZ0.3c: Two lamps emit light of wavelength 620 nm. The lights are observed through a circular aperture of...
- 14N.2.HL.TZ0.7e: A security camera on the ship captures an image of two green lamps on the shore. The lamps emit...
- 14M.3.SL.TZ2.3a: State the Rayleigh criterion.
- 14M.3.SL.TZ2.3b: (i) Calculate the angular separation of the two towers when the images of the towers are just...
- 13M.1.HL.TZ1.16: Two coloured point sources are observed through an optical telescope. Which of the following...
- 12M.1.HL.TZ1.14: Two point sources of light have an angular separation of θ, as measured by a distant observer....
- 12M.1.HL.TZ2.19: An object to be viewed by a microscope is irradiated with blue light. The reason for using blue...
- 13M.3.SL.TZ1.2b: The radio signals from two stars on opposite sides of the galaxy are detected on Earth using a...
- 11M.1.HL.TZ2.18: The diagram below shows two identical...
- 13M.1.HL.TZ2.17: An optical instrument is used to observe an object illuminated with monochromatic light. Which of...
- 12M.2.HL.TZ2.12a: Radio telescopes can be used to locate distant galaxies. The ability of such telescopes to...
- 12M.3.SL.TZ2.3a: State what is meant by resolved in this context.
- 12M.3.SL.TZ2.3b: The wavelength of the light from the two sources is 528 nm. The distance of the two sources from...
- 11N.2.HL.TZ0.9a: (i) State the wave phenomenon that limits the resolution of the eye. (ii) State the Rayleigh...
- 11N.2.HL.TZ0.9b: An advertising sign contains two straight vertical sections that emit light. The vertical...
- 11N.3.SL.TZ0.3b: Judy looks at two point sources identical to the source S1 in (a). The distance between the...
- 12N.2.HL.TZ0.3b: The laser in (a) is replaced by two identical lasers so that the light from both lasers...
- 12N.3.SL.TZ0.4: This question is about resolution. A car is travelling along a straight road at night. To a...
- 13N.2.HL.TZ0.7h: The star X has a companion star Y. The distance from Earth to the stars is 1.0×1018m. The images...
- 13N.3.SL.TZ0.3a: Two point sources S1 and S2 emit monochromatic light of the same wavelength. The light is...
- 13N.3.SL.TZ0.3b: A car is travelling at night along a straight road. Diane is walking towards the car. She sees...
- 11M.1.HL.TZ1.15: Light of wavelength λ is emitted by two point sources. The light passes through a circular...
- 10M.1.HL.TZ1.21: The images of two sources are just resolved. Which of the following is a correct statement of the...
- 09N.1.HL.TZ0.19: Two galaxies with an angular separation at the observer of \(5.0 \times {10^{ - 4}}\) radians are...
- 10N.3.SL.TZ0.A2b: Points P and Q are on the circumference of a planet as shown. By considering the two points,...
- 16M.1.HL.TZ0.35: Which of the following...
- 16N.1.HL.TZ0.29: A diffraction grating is used to observe light of wavelength 400 nm. The light illuminates 100...
- 16N.2.HL.TZ0.6b: Airports use radar to track the position of aircraft. The waves are reflected from the aircraft...
- 17M.1.HL.TZ2.28: Two points illuminated by monochromatic light are separated by a small distance. The light...
- 17N.2.HL.TZ0.6b.ii: The yellow light is made from two very similar wavelengths that produce two lines in the spectrum...
9.5 – Doppler effect
- 15M.1.HL.TZ1.14: A car horn emits sound of frequency ƒ. While the horn is sounding, the car moves in a straight...
- 15M.1.HL.TZ2.14: An object emitting a sound of frequency 100 Hz orbits in a horizontal circle at a rate of two...
- 15M.3.SL.TZ1.3a: On the diagram, sketch three successive wavefronts produced when S is moving to the left at a...
- 15M.3.SL.TZ1.3b: A source of X-rays rotates on a turntable. Radiation of wavelength 7.5 nm is emitted by the...
- 14M.1.HL.TZ1.19: Light of wavelength λ0 is emitted from a nearby galaxy. The light is received on Earth and the...
- 14M.1.HL.TZ2.17: The diagram shows a train travelling in a straight line at constant speed v, as it approaches the...
- 14M.2.HL.TZ1.4a: (i) Explain, using a diagram, why \(f'\) is greater than \(f\). (ii) The frequency \(f\) is 275...
- 15N.1.HL.TZ0.14: A source emits sound of wavelength \({\lambda _0}\) and wave speed \({v_0}\). A stationary...
- 14N.1.HL.TZ0.14: A source of sound moves away from an observer. The observed frequency of the sound differs from...
- 14N.3.SL.TZ0.3a: The maximum frequency recorded is 751 Hz and the minimum frequency recorded is 749 Hz. Explain...
- 14N.3.SL.TZ0.3b: Determine the speed of the mosquito.
- 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...
- 14M.3.SL.TZ2.2a: Describe what is meant by the Doppler effect.
- 14M.3.SL.TZ2.2b: (i) Determine the minimum frequency of the sound heard by the observer. (ii) Describe...
- 11N.1.HL.TZ0.16: A fire engine with its siren sounding approaches and passes a stationary observer. The frequency...
- 12N.1.HL.TZ0.17: A siren on an ambulance emits sound of frequency f. The speed of sound in still air is v. What is...
- 13N.1.HL.TZ0.14: An ambulance emits a sound of frequency f as it travels along a straight road between stationary...
- 13M.1.HL.TZ1.14: A sample of hydrogen on Earth emits a spectral line that is measured by an Earth observer to...
- 12M.1.HL.TZ2.17: A point source of sound is moving to the right at constant speed. The source emits sound waves of...
- 13M.3.SL.TZ1.2a: Determine the wavelength of the radio wave as measured by the observer on Earth.
- 11M.1.HL.TZ2.16: A radar...
- 13M.1.HL.TZ2.15: A stationary source of sound emits sound of frequency f. A moving observer measures the sound as...
- 12M.2.HL.TZ1.4a: Calculate the frequency measured by an observer when (i) the observer is stationary and the...
- 12M.2.HL.TZ1.4b: When both source and observer are stationary the wavelength is λ0 and the wavespeed is v0. In...
- 12M.3.SL.TZ1.3a: Describe the Doppler effect.
- 12M.3.SL.TZ1.3b: A spectral line from a source on Earth has a frequency of 4.672×1014 Hz. When this same line is...
- 12M.2.HL.TZ2.12b: Due to the Doppler effect, light from distant galaxies is often red-shifted. (i) Describe, with...
- 12N.3.SL.TZ0.2a: A fire engine is travelling at a constant velocity towards a stationary observer. Its siren emits...
- 12N.3.SL.TZ0.2b: The frequency of the note emitted by the siren is 400 Hz. After the fire engine has passed, the...
- 13N.2.HL.TZ0.7f: Describe what is meant by the Doppler effect.
- 13N.2.HL.TZ0.7g: One of the lines in the spectrum of atomic hydrogen has a frequency of 4.6×1016Hz as measured in...
- 13N.3.SL.TZ0.2a: Describe what is meant by the Doppler effect as it relates to sound.
- 13N.3.SL.TZ0.2b: An ambulance is travelling at a speed of 28.0 ms–1 along a straight road. Its siren emits a...
- 11M.3.SL.TZ1.2a: Explain, using a diagram, any difference between ƒ and ƒ'.
- 11M.3.SL.TZ1.2b: The frequency ƒ is 3.00×102Hz. An observer moves towards the stationary car at a constant speed...
- 09M.1.HL.TZ1.17: During a journey an observer travels at constant speed towards, and then goes beyond, a...
- 10M.1.HL.TZ1.19: Which of the following wave phenomena is associated with blood flow measurements? A. ...
- 10N.1.HL.TZ0.18: A source of sound approaches a stationary observer. The speed of the emitted sound and its...
- 16M.1.HL.TZ0.25: A train moves at constant speed whilst emitting a sound wave of frequency f0. At t=t0...
- 16M.1.HL.TZ0.35: Which of the following...
- 16N.2.HL.TZ0.6a: Police use radar to detect speeding cars. A police officer stands at the side of the road and...
- 17M.1.HL.TZ1.28: A train moving at speed u relative to the ground, sounds a whistle of constant frequency f as it...
- 17M.1.HL.TZ2.29: A train travelling in a straight line emits a sound of constant frequency f. An observer at...
- 17N.1.HL.TZ0.30: A stationary sound source emits waves of wavelength \(\lambda \) and speed v. The source now...
- 18M.1.HL.TZ1.29: Two lines X and Y in the emission spectrum of hydrogen gas are measured by an observer stationary...
- 18M.2.HL.TZ1.3c: The wavelength of the light in the beam when emitted by the galaxy was 621.4 nm. Explain,...
- 18M.1.HL.TZ2.27: A train is approaching an observer with constant speed ...