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A sonometer wire supports a 4 kg load an...

A sonometer wire supports a 4 kg load and vibrates in fundamental mode with a tunig fork of frequency 416 Hz. The length of the wire between the bridges is now doubled. In order to maintain fundamental mode, the load should be changed to

A

`1 kg`

B

`2 kg`

C

`8 kg`

D

`16 kg`

Text Solution

Verified by Experts

The correct Answer is:
D
For the given problem ,
`( sqrt(T))/(l) = constant `
or `T prop l^(2)`
If `l` is to be doubled , `T` would be quadrupled.
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