The wavelength of a sound in a medium is $50 c m$ . If wave velocity is $25 m s^{- 1}$ , then what is the time period?

0.02 s

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0.04 s

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0.06 s

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0.03 s

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Solution

The correct option is A $0.02 s$
Given:
Wavelength, $λ = 50 c m = 0.5 m$
Wave velocity, $v = 25 m s^{- 1}$

Let frequency be $f$ and time period be $T$ .

Speed of sound in a medium is given by:
$v = f λ$
$⟹ f = \frac{25}{0.5} = 50 H z$

Frequency and time period are related as:
$T = \frac{1}{f}$
$T = \frac{1}{50} = 0.02 s$

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