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The frequency of a tuning fork is $440 Hz$ and the speed of sound in air is $352 m / s$ . How far has the sound travelled while the tuning fork completes $30$ vibrations?

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33 m

23 m

24 m

32 m

answer is C.

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Detailed Solution

24 m

far has the sound travelled.
Given,
Frequency

(f) = 440 Hz

,
Number of vibrations completed by turning fork

(n) = 30,

Speed of sound in air

(v) = 352 m / s .

Formula,
Time period

(T) = 1 / f

= 1 / 440 s

Time for n = 30 vibrations

is given as

t = nT

= 30 / 440 s

= 3 / 44 s

Therefore,
Distance travelled by sound wave in a given time,

s = vt

= 352 \times (3 / 44)

= 24 m

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