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Measuring Length

The tension i...

Question

The tension in the sonometer wire is decreased by 4% by loosening the screws. It fundamental frequency

A

remains same

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B

increases by 2%

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C

decreases by 2%

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D

frequency becomes imaginary

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Solution

The correct option is C decreases by 2%
The frequency of vibration in a sonometer is given by $f = (1 / 2 L) \sqrt{(} T / μ)$
The fractional change in frequency with change in tension is given by $Δ f / f = - (Δ T / 2 T)$ .
Thus, the frequency decreases by 2%
The correct option is (c)

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