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Question

Physics Question on Waves

When two tuning forks AA and BB are sounded together. 44 beats per second are heard. The frequency of the fork BB is 384Hz384\, Hz. When one of the prongs of the fork AA is filed and sounded with BB. the beat frequency increases, then the frequency of the fork AA is

A

380 Hz

B

388 Hz

C

379 Hz

D

389 Hz

Answer

388 Hz

Explanation

Solution

Given, frequency of fork BB,
vB=384Hzv_{B}=384 \,Hz
We know that,
vAvB=4v_{A}-v_{B}= 4
vA384=4v_{A}-384=4
vA=384+4v_{A}=384+4
Frequency of fork AA,
vA=388Hzv _{ A }=388 \,Hz