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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 `:`
`u prop sqrt(T)`
`rArr lambda prop sqrt(T)`
Now, for 6 loops `: 3 lambda _(1)=L`
`rArr lambda_(1)=L//3`
`&` for 4 loops `: 2 lambda_(2)=L`
`rArr lambda_(2)=L//2`
`rArr (lambda_(1))/(lambda_(2))=(2)/(3)`
`rArr T_(2)=(9)/(4)xxT_(1)=(9)/(4)xx36`
`=81N. Ans.`
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