The frequency of the sound produced by a vibrating pendulum is 150 Hz. How many times does it vibrate in a minute ?

8500 times

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8900 times

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9000 times

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9200 times

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Solution

The correct option is C 9000 times
Frequency of the sound is the number of vibrations per second.
$F r e q u e n c y =$ $\frac{N u m b e r o f v i b r a t i o n s}{T o t a l t i m e i n s e c o n d s}$

$N u m b e r o f v i b r a t i o n s =$ $F r e q u e n c y \times t o t a l t i m e i n s e c o n d s$

Given, frequency of sound $= 150 H z$
Total time = $1 m i n u t e = 1 \times 60 = 60 s$
$∴$ Number of vibrations $= 150 \times 60 = 9000$

The pendulum vibrates 9000 times in a minute and produces a frequency of 150 Hz.

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