A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges when a mass of 9 kg.is suspended from the wire. When this mass is replaced by a mass M, the wire resonates with the same tuning fork forming three antinodes for the same positions of the bridges. The value of M is
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a
25 kg
b
5 kg
c
12.5 kg
d
1 /25 kg
answer is A.
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Detailed Solution
v1=nλ1=T1m=9gm v2=nλ2=T2m=Mgm λ2λ1=M9 or 53=M9 or M=25kg