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In an experiment with sonometer a tuning fork of frequency 256Hz resonates with a length of 25cm and another tuning fork resonates with a length of 16x\cm. Tension of the spring remaining constant the frequency of the second tuning fork is?

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In an experiment with sonometer a tuning fork of frequency 256Hz resonates with a length of 25cm and another tuning fork resonates with a length of 16x\cm. Tension of the spring remaining constant the frequency of the second tuning fork is?

(a) 163.84Hz

(b) 400Hz

(c) 320Hz

(d) 20.4Hz

This question was addressed to me at a job interview.

My query is from Travelling Waves in division Waves of Engineering Physics I

1 Answer

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Correct option is (b) 400Hz

The best explanation: v∝1/L

v2/v1 = L1/L2

v2=L1/L2 ×v1=25/16×256=400Hz.

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