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Question

A source produces 60 rarefactions and 60 compressions in 0.6 s. Distance between a compression and the next (consecutive) rarefaction is 150 cm. Find the frequency of the wave :


A
500 Hz.
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B
0.02
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C
0.01 Hz
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D
100 Hz
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Solution

The correct option is D 100 Hz
Frequency of wave is defined as the number of waves produced in 1 second. A longitudinal wave is formed by one compression and one rarefaction, we have 60 compressions and 60 rarefactions in $$0.6s$$ i.e. 60 waves produced in 0.6s,
In $$0.6s $$ the number of wave produced $$=60$$
In $$1s$$ the number of wave produced $$=\dfrac{60}{0.6}=100Hz$$ 
Therefore , frequency $$f=100Hz$$

Here, the distance given between a compression and the next (consecutive) rarefaction is of no use. It is wavelength. We need only number of waves and time to calculate frequency.

Physics

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