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Two instruments having stretched strings are being played in unison. When the tension in one of the instruments is increases by 1%, 3 beats are produced in 2 s. The initial frequency of vibration of each wire is

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600 Hz

300 Hz

200 Hz

150 Hz

answer is B.

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Detailed Solution

$v \propto \sqrt{T}, v' \propto \sqrt{T + \frac{1}{100} T}$ $\Rightarrow \frac{v'}{v} = {(1 + \frac{1}{100})}^{1 / 2} = 1 + \frac{1}{200}$ $\frac{v' - v}{v} = \frac{1}{200} o r \frac{3}{2 v} = \frac{1}{200}$

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