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Two tuning forks,A and B produce notes o...

Two tuning forks,A and B produce notes of frequencies 258 Hz and 262 Hz.An unknown note sounded with A produces certain beats.When the same note is sounded with B ,th beat frequeny gets doubled.The unknown frequency

A

250 Hz

B

252 Hz

C

254 Hz

D

256 Hz.

Text Solution

Verified by Experts

The correct Answer is:
C
Let v be the frequency of unknown note . Acc. To problem , 258 - v = x and 262 - v = 2x
`therefore (258 - v)/(262 - v) = (1)/(2) `
512 - 2v = 262 - v
516 - 2v = v
`rArr " " ` v = 254 Hz.
So, correct choice is c.
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