A tuning fork has the frequency of vibration $200 H z$ . If the velocity of sound in air is $330 m / s$ , then how far the sound has traversed while turning fork completes $20$ vibrations.

24 m

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57 m

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42 m

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33 m

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Solution

The correct option is D $33 m$
Given,
Frequency $= 200 H z$
Speed of sound $= 330 m / s$
Number of vibrations $= 20$
therefore,Time period $= \frac{1}{f r e q u e n c y} = \frac{1}{200} = 0.005 s e c$
Total time $=$ Time period $\times$ number of vibrations
$= 0.005 \times 20 = 0.1 s e c$
Now,
Distance travelled $=$ Speed $\times$ time
$= 330 \times 0.1 = 33 m$

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