Two vibrating tuning forks produce progressive waves given by Y₁ = 4, sin, 500π ,t and Y₂ = 2,

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14.Waves and Sound

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Two vibrating tuning forks produce progressive 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

$3$

B

$360$

C

$180$

D

$60$

Solution

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

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

$v=v_{2}-v_{1}=253-250=3$ beats/s.

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

Standard 11

Physics

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