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Two sitar strings A and B playing the note 'Dha' are slightly out of tune and produce beats of frequency 5 Hz. When the tension in string B is slightly increased, the beat frequency falls by 3 Hz. If the frequency of A is 425 Hz, the original frequency of B was

Asked in JEE Main Online 2018 · Unknown fork frequency and tuning

Answer: (3) 420 Hz

Step-by-step solution

Five beats means B was at 420 Hz or 430 Hz.

Raising the tension raises f_B; since the beat frequency fell, B moved towards 425 Hz, so it must have started below it.

The original frequency of B was 420 Hz.

Why the other options are wrong

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