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In an experiment, it was found that a tu...

In an experiment, it was found that a tuning fork and sonometer wire gave 5 beats per second, both when the length of wire was 1m and 1.05m. Calculate the frequency of the fork.

A

`420 Hz`

B

`410 Hz`

C

`210 Hz`

D

`205 Hz`

Text Solution

Verified by Experts

The correct Answer is:
D
`f prop (l)/(l) rArr f l =` constant
`f_(1) l_(1) = f_(2) l_(2)`
`(n + 5) (1) = (n - 5) (1.05)`
`n + 5 = 1.05 n - 5.25`
`0.05 n = 10.25`
`n = 205 Hz`
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