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String Fixed at Both Ends

Two strings X...

Question

Two strings X and Y of a sitar produces a beat of frequency 4Hz. When the tension of string Y is slightly increased, the beat frequency is found to be 2 Hz. If the frequency of X is 300 Hz, then the original frequency of Y was:

A

304 Hz

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B

296 Hz

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C

298 Hz

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D

302 Hz

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Solution

The correct option is B
296 Hz

Frequency of Y was either 296 Hz or 304 Hz.

On increasing tension frequency increase.

Now, new frequency may be 298 Hz or 306 Hz.

298 Hz produces 2 beat

and 306 Hz produces 6 beat

So, right one is 296 Hz

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