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, $λ = 34 c m = 0.34 m$
The wave speed, $v$ is calculated by taking the product of frequency and wavelength.
$\Rightarrow$ $v = f λ = 1000 \times 0.34 = 340 m s^{- 1}$ .
The time taken by the wave to travel 1 km is:
$t = \frac{d i s t a n c e t o b e c o v e r e d}{S p e e d o f t h e s o u n d w a v e} \frac{s}{v} = \frac{1}{340} = \frac{1000}{340} = 2.94 s$

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Similar questions

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

1000 H z

34 c m

1 k m

1, 000 Hz

34 cm

1 km

Solve

(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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