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A sonometer wire when vibrated in full l...

A sonometer wire when vibrated in full length has frequency n. Now, it is divided by the help of bridges into a number of segments of lenths `l_(1),l_(2),l_(3)…` when vibration these segments have frequencies `n_(1), n_(2), n_(3),,,` Then, the correct relation is

A

`n=n_(1)+n_(2)+n_(3)+..........`

B

`n^(2)=n_(1)^(2)+n_(2)^(2)+n_(3)^(2)+..........`

C

`1/n=1/n_(1)+1/n_(2)+1/n_(3)+..........`

D

`1/sqrtn=1/sqrtn_(1)+1/sqrtn_(2)+1/sqrtn_(3)+..........`

Text Solution

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The correct Answer is:
c
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