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  4. Two vibrating tuning forks produce waves given by y1=4 sin 500 π t and y2=2 sin 506 π t. Number of beats produced per minute is

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Q. Two vibrating tuning forks produce waves given by $y_{1}=4 \sin 500 \pi t$ and $y_{2}=2 \sin 506 \pi t$. Number of beats produced per minute is

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Solution:

$ Y_{1}=4 \sin 500 \pi t, Y_{2}=2 \sin 506 \pi t$
$\omega_{1}=500 \pi, \omega_{1}=2 \pi v, v_{1}=250, v_{2}=253$
$v=v_{2}-v_{1}=253-250=3$ beats $/ s$
Number of beats per minute $=3 \times 60=180$