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  4. If the sound heard by observer, whose equation is given as y=8 sin (10 π t) cos (200 π t) at x=0, then number of beat frequency heard by observer is 2 k. Then the value of k is

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Q. If the sound heard by observer, whose equation is given as $y=8 \sin (10 \pi t) \cos (200 \pi t)$ at $x=0$, then number of beat frequency heard by observer is $2 k$. Then the value of $k$ is

Waves

Solution:

Beat frequency
$=2\left(\frac{\omega_{1}-\omega_{2}}{2 \pi}\right)=2\left(\frac{10 \pi}{2 \pi}\right)=2 k$
Hence $k=5$