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6.2 Wave properties and the wave equation

9 exam questions worth 22 marks. Write your answer, open the mark scheme, then give yourself the marks you earned. Your answers are saved on this device.

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1
Multiple choice [1 mark]

What is the unit of frequency?

Choose one answer.

Correct Not quite: the answer is Hertz

Mark scheme

B: Hertz

Model answer

Hertz (B).

2
Calculation [2 marks]

A wave has a frequency of 20 Hz and a wavelength of 0.50 m. Calculate the speed of the wave.

Mark scheme

v = f λ = 20 × 0.50 (1); 10 m/s (1)

Model answer

v = f λ = 20 × 0.50 = 10 m/s.

Your mark
3
Calculation [3 marks]

A water wave travels at 0.60 m/s with a wavelength of 0.020 m. Calculate its frequency.

Mark scheme

f = v ÷ λ (1); 0.60 ÷ 0.020 (1); 30 Hz (1)

Model answer

f = v / λ = 0.60 / 0.020 = 30 Hz.

Your mark
4
Calculation [3 marks]

The speed of sound in air is 330 m/s. Calculate the wavelength of a sound wave of frequency 1.5 kHz.

Mark scheme

f = 1500 Hz (1); λ = v ÷ f = 330 ÷ 1500 (1); 0.22 m (1)

Model answer

f = 1500 Hz. λ = v / f = 330 / 1500 = 0.22 m.

Your mark
5
Calculation [2 marks]

A wave has a period of 0.040 s. Calculate its frequency.

Mark scheme

f = 1 ÷ T = 1 ÷ 0.040 (1); 25 Hz (1)

Model answer

f = 1 / T = 1 / 0.040 = 25 Hz.

Your mark
6
Calculation [3 marks]

An electromagnetic wave has a frequency of 6.0 × 10¹⁴ Hz and travels at 3.0 × 10⁸ m/s. Calculate its wavelength.

Mark scheme

λ = v ÷ f (1); 3.0 × 10⁸ ÷ 6.0 × 10¹⁴ (1); 5.0 × 10⁻⁷ m (1)

Model answer

λ = v / f = 3.0 × 10⁸ / 6.0 × 10¹⁴ = 5.0 × 10⁻⁷ m.

Your mark
7
Short answer [4 marks]

A student sees 12 waves pass a point on a pond in 6.0 s. The wavelength is 0.15 m. Calculate the speed of the waves.

Mark scheme

f = 12 ÷ 6.0 = 2.0 Hz (1); v = f λ (1); 2.0 × 0.15 (1); 0.30 m/s (1)

Model answer

f = 12 / 6.0 = 2.0 Hz. v = f λ = 2.0 × 0.15 = 0.30 m/s.

Your mark
8
Short answer [2 marks]

State what the amplitude of a wave tells you about the wave, and give the effect of increasing the amplitude of a sound wave.

Mark scheme

the amplitude shows the energy carried by the wave / maximum displacement (1); a louder sound (1)

Model answer

A larger amplitude means the wave transfers more energy. For sound, it makes the sound louder.

Your mark
9
Short answer [2 marks]

A wave travels from air into water. State which property of the wave stays the same and explain why.

Mark scheme

the frequency (1); because frequency is determined by the source (1)

Model answer

The frequency stays the same, because it is determined by the source of the wave.

Your mark
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