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A chord attached about an end to a vibra...

A chord attached about an end to a vibrating fork divides it into 6 loops when its tension is 36 N. The tension at which it will vibrate 4 loops is:

A

`24N`

B

`36N`

C

`64N`

D

`81N`

Text Solution

Verified by Experts

The correct Answer is:
D
For waves along a string `vpropsqrtT`
`implieslamdapropsqrtT`
Now for 6 loops: `3lamda_1=L rArr lamda_1=(L)/(3)`
and for 4 loops `2lamda_2=L rArr lamda_2=(L)/(2)`
`implies(lamda_1)/(lamda_2)=(2)/(3)`
`impliesT_2=(9)/(4)xxT_1=(9)/(4)xx36=81N`
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