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Question

Wavelength (λ), frequency (f) and velocity (v) of a sound wave are related as:

A
λ=v ×1f
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B
λf=v
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C
λ×v=f
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D
f×v=1λ
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Solution

The correct option is A λ=v ×1f
The wave travels one wavelength (λ) of distance in one time period (T).
So, using the formula for speed is:
v=λT

But, time period is inverse of frequency.
f=1T

v=f×λ
From this relationship, we get:
λ=v×1f

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