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Question

When tension in a string is 225 N, then vibrating in fundamental mode it produces 6 beats per second with a tuning fork. The same string, when under tension of 256 N, again vibrating in fundamental mode produces with the same tuning fork 6 beats per second. Then, the frequency of the tuning fork is:

A
256 Hz
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B
255 Hz
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C
240 Hz
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D
186 Hz
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Solution

The correct option is D 186 Hz
f1=12l225m=152l1m,

f2=12l256m=162l1m,

f2f1=6.......(1) and f1f2=6...................(2)

adding equations (1) and (2), and substituting the values of f1,
and f2,

12l1m=12

f1=15×12=180 Hz

from(1), f2=186 Hz

Option "D" is correct.

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