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The tension in a piano wire is `10 N`. The tension ina piano wire to produce a node of double frequency isA. `20 N`B. `40 N`C. `10 N`D. ` 120 N`

Answer» Correct Answer - B
For mass `m` per unit length of wire and tension `T`, the frequency of note emitted by the wire is
`n=1/(2l)sqrt(T/m)`
where `l` length of wire.
Given `T_(1) = 10N, n_(1)=n` and `n_(2)=2n`
`(n_(1))/(n_(2))=sqrt((T_(1))/(T_(2)))`
`implies T_(2)= 10xx4= 40N`


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