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Question 77 of 122 in Properties of Waves

Wavelength and frequency

4 marks · Normal

A student is investigating waves in a rope by creating pulses at one end and measuring their properties.

(a)

State the equation that links wave speed, frequency, and wavelength.

[1 mark]
(b)

The wave in the rope has a frequency of 5 Hz and a wavelength of 0.8 m. Calculate the speed of the wave.

[2 marks]
(c)

State the unit of frequency.

[1 mark]

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

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(a) v = f × λ

(b) 4 m/s

(c) Hertz (Hz)

Common mistakes: incorrect rearrangement; using wrong unit

Show mark scheme and worked solution

Marking points

B1 (a) · 1 mark · Correctly states v = f × λ or equivalent.

M1 (b) · 1 mark · Substitutes frequency and wavelength into v = f × λ. (follow-through)

A1 (b) · 1 mark · Calculates correct value: 4 m/s. (follow-through)

B1 (c) · 1 mark · Correctly states 'hertz' or 'Hz'.

Worked solution

a) The equation linking wave speed, frequency, and wavelength is:

b) Use v = f × λ.

c) The SI unit of frequency is hertz (Hz).

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