A, B and C are three tuning forks. Frequency of A is 350 Hz. Beats produced by A and B are 5/s and by B and C are 4/s. When a wax is put on A beat frequency between A and B is 2 Hz and between A and C is 6 Hz. Then frequency of B and C respectively are

355 Hz, 349 Hz

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345 Hz, 341 Hz

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355 Hz, 341 Hz

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345 Hz, 349 Hz

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Solution

The correct option is A 345 Hz, 341 Hz
The frequency of B can be 355 Hz or 345 Hz, When a wax is put on A its frequency decreases.
as the number of beats heard is decreasing, the new value of frequency of A must be closer to B, which implies frequency of B must be 345 Hz. and new frequency of A is 347 Hz.

The beats heard when B and C vibrates is 4 per second, which implies frequency of C must be 341 or 349 Hz.

the beats heard between A and C after A is waxed, is 6 Hz. Which implies frequency of C can be 341 Hz or 353 Hz.

Taking common of above two frequency of C is 341 Hz.

Hence frequency of B and C is 345, 341 Hz.

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