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

3.20 s

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2.94 s

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5.94 s

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3.10 s

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Solution

The correct option is B $2.94 s$
Given:
Frequency, $f = 1000 H z$
Wavelength, $λ = 34 c m = 0.34 m$
Distance to be travelled, $s = 1 k m = 1000 m$

The wave speed is given by:
$v = f λ$
$v = 1000 \times 0.34$
$v = 340 m s^{- 1}$

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

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1000 H z

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(1) Sound wave has frequency 320 Hz and wavelength 0.25 m. How much distance will it travel in 10 second.

[Ans : 800 m.]

(2) A sound wave having certain frequency travels with a speed of 336 m/s and wavelength 3 cm. calculate the frequency. Will it be audible?

[11200 Hz, Yes.]

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