Two vibrating tuning forks produce waves given by {y₁} = 4sin 500π t and {y₂} = 2sin 506π

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14.Waves and Sound

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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

A

$360$

B

$180$

C

$3$

D

$60$

Solution

$Y_{1}=4 \sin 500 \pi t, Y_{2}=2 \sin 506 \pi t$

$\omega_{1}=500 \pi, \omega_{1}=2 \pi v, v_{1}=250, v_{2}=253$

$v=v_{2}-v_{1}=253-250=3 \text { beats } / \mathrm{s}$

Number of beats per minute $=3 \times 60=180$

Standard 11

Physics

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