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A sonometer wire under a given tension T has a fundamental frequency of 400 Hz. When tension is decreased by 1 kgf, the fundamental frequency becomes 300 Hz. The value of T in kgf units is

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25/16

16/7

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answer is A.

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Detailed Solution

for a sonometer

$n \propto \sqrt{T} \frac{4}{3} = \sqrt{\frac{T}{T - 1}} s o l v i n g T = \frac{16}{7}$

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