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Two tuning forks A and B vibrating simul...

Two tuning forks `A` and `B` vibrating simultaneously produce `5 beats//s`. Frequency of `B` is `512 Hz`. If one arm of `A` is filed, the number of beats per second increases. Frequency of `A` is

A

502 Hz

B

507 Hz

C

517 Hz

D

522 Hz

Text Solution

Verified by Experts

The correct Answer is:
B
There are five beat between A and B, therefore, the possible frequencies of A are
`512pm5=(517or507)Hz`.
When one prong of A is filed its frequency becomes greater than the original frequency. If we assume that the original frequency of A is 517 Hz then on filing its frequency will be greater than 517 Hz. The beats between A and B will be more than 5. But it is given that the beats are increasing so it is only possible if frequency of A is 517 Hz.
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