Free C.2 Wave model questions for IB Physics (SL & HL), part of C Wave behaviour. Each question has the answer and the marking points an examiner would look for.
The intensity of a wave is I at a distance r from a point source. The wave also passes through an absorbing screen placed just before the distance 3r, which reduces its amplitude by a factor of 2. What is the intensity at 3r, in terms of I?
A 0.0278 I
B 0.0556 I
C 0.0833 I
D 0.167 I
Show answer
Answer: A
Question 2Multiple choice · 1 mark
Which statements about electromagnetic waves in a vacuum are correct? I. They are transverse waves. II. They require a medium for propagation. III. They all travel at the same speed.
A I and II only
B I and III only
C II and III only
D I, II and III
Show answer
Answer: B
Question 3Multiple choice · 1 mark
A wave passes from one medium into another in which it travels more slowly. What happens to its frequency and its wavelength?
frequency
wavelength
A
unchanged
decreases
B
decreases
decreases
C
decreases
unchanged
D
unchanged
increases
Show answer
Answer: A
Question 4Structured · 7 marksA* challenge
A transverse wave of frequency 4.0 Hz and wavelength 1.5 m travels along a rope. Points P and Q on the rope are 0.50 m apart.
(a)
Calculate the speed of the wave.
[1]
(b)
Calculate the phase difference between P and Q.
[2]
(c)
The tension in the rope is increased by a factor of four. The wave speed is proportional to the square root of the tension. Calculate the new wavelength if the frequency is unchanged.
[2]
(d)
Distinguish between a transverse and a longitudinal wave.
[2]
Show answers and mark scheme
Part
Answer and marking points
Marks
(a)
6.0 m s−1
v = fλ = 6.0 m s−1✓
1
(b)
2π/3 rad
0.50/1.5 of a wavelength ✓ = 2π/3 rad (120°) ✓
2
(c)
3.0 m
speed doubles to 12 m s−1✓ λ = 12/4.0 = 3.0 m ✓
2
(d)
oscillation direction
transverse: oscillations perpendicular to energy transfer ✓ longitudinal: oscillations parallel to energy transfer ✓
2
Question 5Structured · 5 marks
A sound wave of frequency 680 Hz travels in air at 340 m s−1 and then enters water, where its speed is 1500 m s−1.
(a)
Calculate the wavelength in air.
[1]
(b)
Calculate the wavelength in water.
[2]
(c)
Explain why sound waves cannot be polarized.
[2]
Show answers and mark scheme
Part
Answer and marking points
Marks
(a)
0.50 m
λ = 340/680 = 0.50 m ✓
1
(b)
2.2 m
frequency is unchanged ✓ λ = 1500/680 = 2.2 m ✓
2
(c)
longitudinal
sound is a longitudinal wave ✓ polarization needs oscillations perpendicular to the direction of travel ✓
2
Question 6Structured · 9 marks
A transverse wave travels along a long rope. Its frequency is 4 Hz, its wavelength is 1.2 m and its amplitude is 4 cm.
(a)
Distinguish between a transverse wave and a longitudinal wave.
[2]
(b)
Calculate the speed of the wave.
[1]
(c)
Two points on the rope are 0.450 m apart. Calculate their phase difference.
[2]
(d)
Calculate the maximum speed of a point on the rope, and compare it with the wave speed.
[2]
(e)
The amplitude is doubled at the same frequency. State the effect on the speed of the wave and on the energy it carries.
[2]
Show answers and mark scheme
Part
Answer and marking points
Marks
(a)
direction of oscillation
transverse: oscillation perpendicular to the direction of energy transfer ✓ longitudinal: oscillation parallel to the direction of energy transfer ✓
2
(b)
4.80 m s−1
v = fλ = 4.80 m s−1✓
1
(c)
2.36 rad
φ = 2πΔxλ✓ 2.36 rad ✓
2
(d)
1.01 m s−1
vmax = ωA = 2π(4)(0.04) = 1.01 m s−1✓ this is different from the wave speed: particles oscillate, the wave transfers energy ✓
2
(e)
speed same; energy ×4
speed unchanged (depends on the medium) ✓ energy/intensity is proportional to A2, so it is four times greater ✓
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Original IB-style practice questions written for mentorriyaz.in. These are not IB past paper questions, and this site is not affiliated with or endorsed by the International Baccalaureate Organization. Updated 2026-11-04. Paper generator · mentorriyaz.in