First slide

Beats

Question

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

Moderate

A

360
B

180
C

3
D

60

Solution

From the given equations of progressive waves $ω_{1} = 500 π and ω_{2} = 506 π ∴ n_{1} = 250 and n_{2} = 253$
So beat frequency $= n_{2} - n_{1} = 253 - 250 = 3$ beats per sec $∴$ Number of beats per min = 180.

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