A sound wave has a frequency of 1000 Hz and a wavelength of 34 cm. How long will it take to travel 1 km?

6.20 s

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2.94 s

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5.94 s

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7.10 s

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Solution

The correct option is B
2.94 s

We have, f = 1000 Hz and
$λ = 34 c m = \frac{34}{100} m$
The wave speed is
$v = f λ = (1000 s^{- 1}) [\frac{34}{100} m] = 340 m / s$
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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