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Question

Physics Question on Waves

Two vibrating tuning forks produce waves given y1=4sin500πty_1 = 4 \sin 500 \pi t and y2=2sin506πt.y_2 = 2 \sin 506 \,\pi t. Number of beats produced per minute is

A

360

B

180

C

60

D

3

Answer

180

Explanation

Solution

y1=4sin500πty_1 = 4 \sin500\pi t and y2=2sin506πt.y_2 = 2\, \sin 506 \pi t.
ω1=500π,ω1=2πυ,υ1=250,υ2=253\omega_1=500\pi, \omega_1=2\pi \upsilon, \upsilon_1=250,\upsilon_2=253
Number of beats per minute = 3×60=1803\times60=180.