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Question

Beats are produced by two waves given by $$y_1= a\sin 2000 \pi t$$ and $$y_2= a\sin 2008 \pi t$$. The number of beats heard per second is


A
two
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B
One
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C
Four
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D
Eight
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Solution

The correct option is C Four
Number of beats per second $$=n_1\sim n_2$$
$$\omega_1=2000\pi =2\pi n_1$$
$$\Rightarrow n_1=1000$$ and $$\omega_2=2008\pi =2\pi n_2$$
$$\Rightarrow n_2=1004$$
Number of beats heard per second $$=1004-1000=4$$.

Physics

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