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A fork gives 5 beats with a 40cm length ...

A fork gives 5 beats with a 40cm length of sonometer wire. If the length of the wire is shortened by 1cm, the number of beats is still the same. The frequency of the fork is

A

`385Hz`

B

`320Hz`

C

`395Hz`

D

`400Hz`

Text Solution

Verified by Experts

The correct Answer is:
C
`(l_(2))/(l_(1))=(39)/(40)implies(n_(1))/(n_(2))=(l_(2))/(l_(1))=(39)/(40)impliesn_(1) lt n lt n_(2)`
`n-n_(1)=5`............`(1)`
`n_(2)-n=5`.........`(2)`
`n_(2)-n_(1)=10`
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