DP Physics Questionbank
4.3 – Wave characteristics
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Description
Nature of science:
Imagination: It is speculated that polarization had been utilized by the Vikings through their use of Iceland Spar over 1300 years ago for navigation (prior to the introduction of the magnetic compass). Scientists across Europe in the 17th–19th centuries continued to contribute to wave theory by building on the theories and models proposed as our understanding developed. (1.4)
Understandings:
- Wavefronts and rays
- Amplitude and intensity
- Superposition
- Polarization
Applications and skills:
- Sketching and interpreting diagrams involving wavefronts and rays
- Solving problems involving amplitude, intensity and the inverse square law
- Sketching and interpreting the superposition of pulses and waves
- Describing methods of polarization
- Sketching and interpreting diagrams illustrating polarized, reflected and transmitted beams
- Solving problems involving Malus’s law
Guidance:
- Students will be expected to calculate the resultant of two waves or pulses both graphically and algebraically
- Methods of polarization will be restricted to the use of polarizing filters and reflection from a non-metallic plane surface
Data booklet reference:
Theory of knowledge:
- Wavefronts and rays are visualizations that help our understanding of reality, characteristic of modelling in the physical sciences. How does the methodology used in the natural sciences differ from the methodology used in the human sciences?
- How much detail does a model need to contain to accurately represent reality?
Utilization:
- A number of modern technologies, such as LCD displays, rely on polarization for their operation
Aims:
- Aim 3: these universal behaviours of waves are applied in later sections of the course in more advanced topics, allowing students to generalize the various types of waves
- Aim 6: experiments could include (but are not limited to): observation of polarization under different conditions, including the use of microwaves; superposition of waves; representation of wave types using physical models (eg slinky demonstrations)
- Aim 7: use of computer modelling enables students to observe wave motion in three dimensions as well as being able to more accurately adjust wave characteristics in superposition demonstrations
Directly related questions
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16N.2.SL.TZ0.5b:
Radio waves are emitted by a straight conducting rod antenna (aerial). The plane of polarization of these waves is parallel to the transmitting antenna.
An identical antenna is used for reception. Suggest why the receiving antenna needs to be be parallel to the transmitting antenna.
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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 a distance from the source. When the amplitude is increased and the viewing distance is doubled, the light intensity is doubled. What is the new amplitude of the source?
A. 2A0
B. 2 A0
C. 4A0
D. 8A0
- 17M.1.SL.TZ2.16: A beam of unpolarized light is incident on the first of two parallel polarizers. The transmission...
- 17M.1.SL.TZ1.15: Two pulses are travelling towards each other. What is a possible pulse shape when the pulses...
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17M.1.SL.TZ1.16:
Unpolarized light of intensity I0 is incident on the first of two polarizing sheets. Initially the planes of polarization of the sheets are perpendicular.
Which sheet must be rotated and by what angle so that light of intensity can emerge from the second sheet?
- 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.
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20N.2.SL.TZ0.4c:
When both loudspeakers are operating, the intensity of sound recorded at Q is . Loudspeaker B is now disconnected. Loudspeaker A continues to emit sound with unchanged amplitude and frequency. The intensity of sound recorded at Q changes to .
Estimate .
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20N.2.HL.TZ0.4c:
When both loudspeakers are operating, the intensity of sound recorded at Q is . Loudspeaker B is now disconnected. Loudspeaker A continues to emit sound with unchanged amplitude and frequency. The intensity of sound recorded at Q changes to .
Estimate .
- 17N.1.SL.TZ0.14: Two wave pulses, each of amplitude A, approach each other. They then superpose before continuing...
- 21M.1.SL.TZ1.15: Two identical waves, each with amplitude X0 and intensity I, interfere constructively. What...
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21M.1.SL.TZ2.14:
Unpolarized light of intensity is incident on a polarizer. The light that passes through this polarizer then passes through a second polarizer.
The second polarizer can be rotated to vary the intensity of the emergent light. What is the maximum value of the intensity emerging from the second polarizer?
A.
B.
C.
D.
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21M.1.SL.TZ2.15:
Two wave generators, placed at position P and position Q, produce water waves with a wavelength of. Each generator, operating alone, will produce a wave oscillating with an amplitude of at position R. PR is and RQ is .
Both wave generators now operate together in phase. What is the amplitude of the resulting wave at R?
A.B.
C.
D. zero
- 21M.1.HL.TZ2.12: Which graph shows the variation of amplitude with intensity for a wave?
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21N.1.SL.TZ0.15:
Horizontally polarized light is incident on a pair of polarizers X and Y. The axis of polarization of X makes an angle θ with the horizontal. The axis of polarization of Y is vertical.
What is θ so that the intensity of the light transmitted through Y is a maximum?
A.B.
C.
D.
- 21N.2.SL.TZ0.3b.ii: Identify a time at which the displacement of P is zero.
- 21N.2.SL.TZ0.3b.iii: Estimate the amplitude of the resultant wave.
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21N.2.SL.TZ0.6a.i:
Show that the intensity of the solar radiation at the location of Titan is 16 W m−2
- 21N.2.HL.TZ0.2c.ii: Identify a time at which the displacement of P is zero.
- 21N.2.HL.TZ0.2c.iii: Estimate the amplitude of the resultant wave.
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21N.2.HL.TZ0.6a.i:
Show that the intensity of the solar radiation at the location of Titan is 16 W m−2.
-
18N.2.SL.TZ0.6a:
Show that the intensity of solar radiation at the orbit of Mars is about 600 W m–2.
- 18N.1.HL.TZ0.14: X and Y are two coherent sources of waves. The phase difference between X and Y is zero. The...
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18N.2.HL.TZ0.8c.i:
Show that the intensity of solar radiation at the orbit of Mars is about 600 W m–2.
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22M.1.SL.TZ1.16:
A beam of unpolarized light of intensity is incident on a polarizing filter. The polarizing filter is rotated through an angle θ. What is the variation in the intensity of the beam with angle θ after passing through the polarizing filter?
-
22M.1.SL.TZ1.14:
A light source of power P is observed from a distance . The power of the source is then halved.
At what distance from the source will the intensity be the same as before?
A.
B.
C.
D.
- 22M.2.SL.TZ1.3b: State and explain the wavelength of the sound measured at M.
- 22M.2.HL.TZ1.3b: State and explain the wavelength of the sound measured at M.
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22M.2.SL.TZ1.3c:
B is placed at the first minimum. The frequency is then changed until the received intensity is again at a maximum.
Show that the lowest frequency at which the intensity maximum can occur is about 3 kHz.
Speed of sound = 340 m s−1
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22M.2.SL.TZ1.3a:
Explain why the received intensity varies between maximum and minimum values.
-
22M.2.HL.TZ1.3a:
Explain why the received intensity varies between maximum and minimum values.
-
22M.2.HL.TZ1.3c:
B is placed at the first minimum. The frequency is then changed until the received intensity is again at a maximum.
Show that the lowest frequency at which the intensity maximum can occur is about 3 kHz.
Speed of sound = 340 m s−1
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22M.1.SL.TZ2.18:
Unpolarized light with an intensity of 320 W m−2 goes through a polarizer and an analyser, originally aligned parallel.
The analyser is rotated through an angle θ = 30°. Cos 30° = .
What is the intensity of the light emerging from the analyser?
A. 120 W m−2
B. W m−2
C. 240 W m−2
D. W m−2
- 22M.2.SL.TZ2.3a.i: Explain the variation in intensity.
- 22M.2.SL.TZ2.3b: The metal plate is replaced by a wooden plate that reflects a lower intensity sound wave than the...
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19M.2.HL.TZ2.3eii:
Calculate the wavelength measured by the observer.
- 19M.2.HL.TZ1.3a: Explain why intensity maxima are observed at X and Y.
- 19M.2.SL.TZ1.3c: Outline one reason why the maxima observed at W, X and Y will have different intensities from...
- 19M.2.SL.TZ1.3a: Explain why intensity maxima are observed at X and Y.
- 19M.2.HL.TZ1.3c: Outline one reason why the maxima observed at W, X and Y will have different intensities from...
- 19M.1.SL.TZ2.30: The orbital radius of the Earth around the Sun is 1.5 times that of Venus. What is the intensity...
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19M.2.HL.TZ1.3d:
The microwaves emitted by the transmitter are horizontally polarized. The microwave receiver contains a polarizing filter. When the receiver is at position W it detects a maximum intensity.
The receiver is then rotated through 180° about the horizontal dotted line passing through the microwave transmitter. Sketch a graph on the axes provided to show the variation of received intensity with rotation angle.
- 19M.1.SL.TZ2.15: Unpolarized light is incident on two polarizers. The axes of polarization of both polarizers are...
- 19M.1.SL.TZ1.17: Which of these waves cannot be polarized? A. microwaves B. ultrasound C. ultraviolet D. X rays
- 19N.1.SL.TZ0.15: Unpolarized light is incident on two polarizing filters X and Y. They are arranged so that light...