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