A sound wave has a frequency of $1000 H z$ and a wavelength of $34 c m$ . How long will it take to travel $1 k m$ ?

3.20s

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2.94s

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5.94s

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3.10s

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Solution

The correct option is B
2.94s

Given, frequency $f = 1000 H z$ and
Wavelength, $λ = 34 c m = \frac{34}{100} m$
The wave speed is
$v = f λ = (1000 s^{- 1}) [\frac{34}{100} m] = 340 m / s$

We know velocity is rato of distance and time.

Hence, The time taken by the wave to travel 1 km is:
$t = \frac{s}{v} = \frac{1 k m}{340 m / s} = \frac{1000 m}{340 m / s} = 2.94 s$

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