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Frequency

Beats are pro...

Question

Beats are produced by two waves $y_{1} = a s i n 200 π t$ and $y_{2} = a s i n 208 π t$ . The number of beats heard per second is

A

8

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B

4

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C

1

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D

0

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Solution

The correct option is C 4
The standard equation of the wave is
$y = A s i n 2 π n t$
Comparing the given equations we get, the frequency of two waves as
$n_{1} = 100 H z$ and $n_{2} = 104 H z$
Hence the number of beats heard per second is
$n_{2} - n_{1} = 104 - 100 = 4$

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