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(a) A tuning fork produces 4 beats per s...

(a) A tuning fork produces `4` beats per second with another tuning fork of frequency `256 Hz`. The first one is now loaded with a little wax and the beat frequency is found to increase to `6` per second. What was the original frequency of the tuning fork ?
(b) A plano wire `A` vibrates at a fundamental frequncy of `600 Hz`. A second identical wire `B` produces `6` betas per second with it, when of the tension in `A` is slightly increased. Find the ratio of the tension in `A` to the tension to `B`.
( c) A tunnig fork if frequency `256 Hz` produces `4` beats per second with a wire of length `25 cm` vibrating in its fundamental mode. The beat frequency decreases when the length is slightly shortened. What could be the minimum length by whech the wire be shortened so that it produces no beats with the tuning fork?

Text Solution

Verified by Experts

The correct Answer is:
252 Hz
Initially we use
`256 - n_(0) = 4`
because after loading wax on first fork of frequency `n_(0)` it reduces so beat frequency will increase thus we use
`n_(0) = 252 Hz`
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