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Question: Answered & Verified by Expert
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
PhysicsWaves and SoundMHT CETMHT CET 2009
Options:
  • A zero
  • B one
  • C four
  • D eight
Solution:
1891 Upvotes Verified Answer
The correct answer is: four
Number of beats per second $=n_{1} \sim n_{2}$ $\omega_{1}=2000 \pi=2 \pi n_{1}$ $$
\begin{array}{lc}
\Rightarrow & n_{1}=1000 \\
\text { and } & \omega_{2}=2008 \pi=2 \pi n_{2} \\
\Rightarrow & n_{2}=1004
\end{array}
$$
Number of beats heard per second
$$
=1004-1000=4
$$

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