Question

A sinusoidal wave of frequency 500 hz has a velocity of 350 m/s

Answer 1

[wave length][frequency] = velocity

wavelength = 0.7 m

If you want to write it in standard form

y = A sin[ 2*pi*frequency*time + phase difference ]

A is amplitude

Answer 2

The wavelength of the sinusoidal wave is 0.7 m.

Explanation:

Given that,

Frequency of a sinusoidal wave, f = 500 Hz

Velocity of wave, v = 350 m/s

We need to find the wavelength of the wave. The speed of wave is given by the below relationship :

$v=f\lambda$

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

$\lambda=\dfrac{350\ m/s}{500\ Hz}$

$\lambda=0.7\ m$

So, the wavelength of the sinusoidal wave is 0.7 m. Hence, this is the required solution.

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