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A somoneter wire resonates with a given ...

A somoneter wire resonates with a given tuning fork forming standing waves with five antindoes between the two bridges when a mass of 9 kg is suspended from the wire. Resonates with the same tuning fork forming three antindoes for the same postions 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
`f=(5)/(2l)sqrt((9g)/(u))=(3)/(2l)sqrt((Mg)/(mu)) implies M=25kg`
f: frequency of the tuning fork
`mu`:Mass of per unit length of the wave
l: length of the wire, g:acceleration due to gravity
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