What is the frequency of a wave when it has a wavelength of 2.17 m and is travelling across a rope at a speed of 31 m/s? a 10.1 Hz
b 14.3 Hz
c 11.7 Hz
d 16.2 Hz

A wave oscillating on a string has a wavelength of 0.25 m and a frequency of 1.85 Hz. What is the speed of this wave?

a. 1.210 m/s
b. 2.050 m/s
c. 0.2915 m/s
d. 0.4625 m/s

i) b. 14.3 Hz

ii) d. 0.4625 m/s

Explanation:

f = c / λ

f = frequency

c = speed

λ = wavelength

first question:

the given values,

λ = 2.17 m

c = 31 m/s

f = c / λ

f = 31 / 2.17

f = 14.28

∴ f = 14.3 Hz

second question:

given,

λ = 0.25 m

f = 1.85 Hz

f = c / λ

rearranging,

c = f × λ

c = 1.85 × 0.25

c = 0.4625

∴ c = 0.4625 m/s

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