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A sonometer wire with a suspended mass of M =1kg is in resonance with a given tuning fork The apparatus is taken to the moon where the acceleration due to gravity is 1/6 that on the earth. To obtain resonance on the moon, the value of M should be

a
1 kg
b
6 kg
c
6kg
d
24kg

detailed solution

Correct option is C

On earth, n1=12lMgm=12lgm  On moon n2=12lM(g/6)m=12lMg6m  For resonance, n1=n2 ∴ 12lgm=12lMg6m or M=6kg

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