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C.3 Wave phenomena (Paper 2)

Practice exam-style IB Physics questions for Wave phenomena, aligned with the syllabus and grouped by topic. (Paper 2).

Paper 2
Difficulty
Status
Level
Question 1
SL • Paper 2
Easy
Calculator Permitted

A point source produces circular water wavefronts in a ripple tank.

Diagram of circular wavefronts spreading from a point source with several adjacent wavefronts shown; no rays drawn.
1.

Define a wavefront.

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2.

State the direction of the rays for these circular wavefronts.

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3.

State what the spacing between adjacent wavefronts represents.

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Question 2
SL • Paper 2
Easy
Calculator Permitted

A student observes water waves passing through a narrow gap.

Ripple tank plan view with straight incident wavefronts approaching a barrier with a narrow aperture; region after aperture left for candidate interpretation.
1.

Describe the change in shape of the wavefronts after the gap when the gap width is similar to the wavelength.

[2]
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2.

State one quantity of the waves that remains unchanged after diffraction in the same medium.

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Question 3
SL • Paper 2
Medium
Calculator Permitted

Plane water waves travel from deep water into shallow water at an angle to the boundary.

Ray and wavefront diagram showing plane waves approaching an oblique boundary between labelled deep and shallow water; wavefront spacing changes after the boundary but values are not shown.
1.

State what happens to the frequency at the boundary.

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2.

Explain why the wavelength changes.

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Question 4
SL • Paper 2
Medium
Calculator Permitted

A light ray travels from air into a plastic block of refractive index 1.40. The angle of incidence is 5050^\circ.

1.

Calculate the angle of refraction.

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2.

State whether the ray bends towards or away from the normal.

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Question 5
SL • Paper 2
Medium
Calculator Permitted

Two wave pulses travel towards each other along a stretched rope.

Two equal triangular pulses on a rope approaching each other, one upward and one downward, with arrows showing motion.
1.

State the principle of superposition.

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2.

Explain what happens when two equal pulses, one upward and one downward, completely overlap.

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Question 6
SL • Paper 2
Medium
Calculator Permitted

Two coherent loudspeakers emit in phase with wavelength 0.80 m0.80\ \text{m}. A microphone is placed where the path difference from the speakers is 2.0 m2.0\ \text{m}.

1.

Determine whether the interference is constructive or destructive.

[2]
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2.

State one reason why equal path-difference conditions may not produce complete silence at a minimum.

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3.

State why the sources must be coherent for a stable pattern.

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Question 7
HL • Paper 2
Medium
Calculator Permitted

Monochromatic light of wavelength 5.40×107m5.40 \times 10^{-7}\,\text{m} is incident normally on a single slit of width 0.150mm0.150\,\text{mm}.

1.

Calculate the angle to the first minimum.

[2]
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2.

State the angular width of the central maximum.

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Question 8
HL • Paper 2
Medium
Calculator Permitted

A single-slit diffraction pattern is observed on a screen. The slit width is then decreased while the incident monochromatic light is unchanged.

Sketch of a laser, adjustable single slit and screen showing a central maximum and weaker side maxima; no numerical dimensions.
1.

Describe the change in width of the central maximum.

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2.

Describe the change in intensity of the pattern.

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3.

Explain the change in width using the diffraction equation.

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Question 9
HL • Paper 2
Medium
Calculator Permitted

A diffraction grating has 400 lines mm1400\ \text{lines mm}^{-1}. Light of wavelength 650 nm650\ \text{nm} is incident normally.

1.

Determine the grating spacing.

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2.

Calculate the angle of the first-order maximum.

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Question 10
HL • Paper 2
Medium
Calculator Permitted

White light is incident normally on a diffraction grating.

1.

State the colour of the zero-order maximum.

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2.

Compare the angles of the red and violet first-order maxima.

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3.

Explain the comparison in (b).

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Question 11
SL • Paper 2
Medium
Calculator Permitted

Light in a glass block has a critical angle of 4040^\circ at a glass-air boundary.

1.

Define critical angle.

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2.

Determine the refractive index of the glass.

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Question 12
SL • Paper 2
Medium
Calculator Permitted

In a Young double-slit experiment, the distance between the slits and screen is 1.80 m. The slit separation is 0.300 mm. The distance across 10 adjacent fringe spacings is 30.0 mm.

1.

Determine the fringe separation.

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2.

Calculate the wavelength of the light.

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3.

Suggest why measuring across 10 fringe spacings improves the result.

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Question 13
HL • Paper 2
Medium
Calculator Permitted

A rectangular slit is illuminated by monochromatic light.

1.

State where the first diffraction minimum occurs in terms of wavelength λ\lambda and slit width bb.

[1]
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2.

Explain, using superposition, why a minimum is produced in this direction.

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Question 14
HL • Paper 2
Medium
Calculator Permitted

A real double slit has slit separation dd and slit width bb.

Intensity against angle sketch for real double slit: closely spaced interference fringes under a broad single-slit envelope with some suppressed fringes; no values.
1.

State which quantity mainly determines the separation of the fine interference fringes.

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2.

State which quantity mainly determines the width of the diffraction envelope.

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3.

Explain what is meant by a missing order in this pattern.

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Question 15
HL • Paper 2
Medium
Calculator Permitted

A monochromatic beam illuminates a grating with many equally spaced slits. A second grating has the same slit spacing but more illuminated slits.

1.

State what happens to the angular positions of the principal maxima.

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2.

Explain what happens to the intensity of a principal maximum.

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Question 16
HL • Paper 2
Medium
Calculator Permitted

A diffraction grating has spacing 1.25×106m1.25 \times 10^{-6}\,\text{m}. Light of wavelength 500 nm is incident normally.

1.

Determine the maximum possible order.

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2.

Explain why no higher order is observed.

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3.

State what would happen to the maximum order if the wavelength were increased.

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Question 17
SL • Paper 2
Hard
Calculator Permitted

A ray of light is directed inside a glass optical fibre surrounded by air.

Longitudinal section of a straight optical fibre with a ray reflecting repeatedly at the core-air boundary; normal shown at one reflection point; no numerical angles.
1.

Define total internal reflection and state the two conditions required for it to occur.

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2.

Explain how total internal reflection allows light to be guided along the fibre, including the role of the critical angle.

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Question 18
SL • Paper 2
Hard
Calculator Permitted

A student uses a laser and double slit to determine the wavelength of light.

Experimental arrangement: laser, double slit, screen with bright and dark fringes, labelled D, d, and a ruler across several fringes; no numerical values.
1.

Outline how the fringe separation should be measured to reduce uncertainty.

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2.

Evaluate the method, explaining how the wavelength is determined and discussing two significant sources of uncertainty or error.

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Question 19
SL • Paper 2
Hard
Calculator Permitted

Wavefront-ray diagrams can represent both refraction and diffraction.

1.

State two features that all correct wavefront-ray diagrams should show.

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2.

Compare and contrast refraction at a boundary with diffraction through an aperture, referring to wavefront spacing, ray direction and wave speed.

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Question 20
SL • Paper 2
Hard
Calculator Permitted

Two-source interference is observed using water waves, sound waves or light.

1.

Define coherence and state the path-difference conditions for constructive and destructive interference for sources initially in phase.

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2.

Discuss why a stable interference pattern is observed only under particular conditions, referring to coherence, overlap and amplitude.

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Question 21
HL • Paper 2
Hard
Calculator Permitted

A monochromatic laser beam is incident normally on a single rectangular slit.

Sketch prompt showing laser, single rectangular slit and screen; no intensity pattern drawn.
1.

Describe the main features of the single-slit diffraction intensity pattern.

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2.

Explain how the first minimum is produced and how changing slit width affects the pattern.

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Question 22
HL • Paper 2
Hard
Calculator Permitted

A student uses a diffraction grating to identify wavelengths in a light source.

Diffraction grating setup with incident light, central maximum, first and higher order maxima/spectra on a screen; axes and angles indicated but no numerical data.
1.

Derive or state the grating equation for normal incidence and define its symbols.

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2.

Evaluate the use of a diffraction grating for analysing white light and monochromatic light, including the maximum possible order and experimental uncertainties.

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Question 23
HL • Paper 2
Hard
Calculator Permitted

A double-slit experiment is performed first with very narrow slits and then with real slits of finite width.

1.

State the formula for the spacing of the double-slit interference fringes and the formula for the first minimum of a single-slit diffraction pattern.

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2.

Compare and contrast the predicted intensity patterns, explaining the modulation of the double-slit pattern by the single-slit envelope.

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Question 24
HL • Paper 2
Hard
Calculator Permitted

Multiple-slit interference is used in spectroscopy.

1.

Explain why increasing the number of illuminated slits changes the sharpness and intensity of the principal maxima.

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2.

Discuss how a diffraction grating can separate wavelengths, including white light, maximum order and the role of the finite width of the slits.

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C.2 Wave model