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65 tuning forks are arranged in order of...

`65` tuning forks are arranged in order of increasing frequency. Any two successive forks produce `4 beats//s`, when sounded together. If the last fork gives an octave of the first, the frequency of the first fork is

A

`252 Hz`

B

`256 Hz`

C

`260 Hz`

D

`264 Hz`

Text Solution

Verified by Experts

The correct Answer is:
B
`x, x+4, x+8, ….,2x`
`T_(n) = a + (n - 1)d` [`h^(th)` term in A.P]
`2x = x + (65 - 1) xx 4 rArr x =256`
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