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A sonometer wire resonates with a given ...

A sonometer wire resonates with a given tuning fork forming standing waves with five antitodes between the two bridges when a mass of `9kg` is suspended from the wire. when this same tuning fork forming three antitodes for the same positions of the bridges. the value of `M` is

A

`25kg`

B

`5kg`

C

`12.5kg`

D

`1/25kg`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) `f_(0) = (5)/(2l)sqrt((9g)/(mu)) = (3)/(2l)sqrt((Mg)/(mu))`
rArr `M = 25 kg`
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