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Q.

A cube (edge length L) of specific gravity' n' is suspended from a thin metal wire. The fundamental frequency for transverse standing waves in the wire is f0.  When the same cube is partially immersed in a liquid of specific gravity 2 upto a depth of 'h', the new fundamental frequency will be

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a

nL−2hL1/2f0

b

nL−2hnL1/2f0

c

LnLi−2h1/2f0

d

nLnL−2h1/2f0

answer is B.

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Detailed Solution

f∝TT0=nρwL3gTnew =nρwL3g−2ρwL2hg=ρwL2g(nL−2h)∴fnewf0=ρwL2g(nL−2h)nρωL3gfnew =nL−2hnL1/2f0
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