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Q.

A string oscillating at fundamental frequency under a tension of 225 N produces 6 beats per second with a sonometer. If the tension is 256 N, then again oscillating at fundamental note it produces 6 beats per second with the same sonometer. What is the frequency of the sonometer ?

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a

256

b

225

c

280

d

186

answer is D.

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Detailed Solution

Let the frequency of sonometer be n. As nis proportional to Tn−6⇒225 and n+6⇒256 ∴ n−6n+6=1516 or n=186

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A string oscillating at fundamental frequency under a tension of 225 N produces 6 beats per second with a sonometer. If the tension is 256 N, then again oscillating at fundamental note it produces 6 beats per second with the same sonometer. What is the frequency of the sonometer ?