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Q.

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

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a

1 kg

b

6 kg

c

6kg

d

24kg

answer is C.

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Detailed Solution

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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