Question

A wave with a frequency of 500 Hz is traveling at a speed of 200 m/s. What is the wavelength ?

Answer 1

The wavelength of the wave is 0.40 m.

Frequency  f of a wave is defined as the number of waves traveling through a point in one second. Wavelength λ is the distance traveled by the wave in one complete time period. The speed of the wave v is related to frequency and wavelength by the expression,

$v=f \lambda$

Therefore,

$\lambda =\frac{v}{f}$

Substitute 200 m/s for v and 500 Hz for f.

$\lambda =\frac{v}{f}\\ =\frac{200 m/s}{500 Hz} \\ =0.40m$

Thus, the wavelength of the wave is 0.40 m

Answer 2

The velocity of a wave is the product of the wavelength and the frequency of the wave. It is given by:

Velocity = Frequency * wavelength

Given that frequency = 500 Hz, velocity = 200 m/s, hence:

Velocity = Frequency * wavelength

200 = 500 * wavelength

Wavelength = 0.4 m

The wavelength of the wave is 0.4 m

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