Q.

A cylindrical vessel of radius 2R contains a cylinder of length l , radius ‘R’ is floating in water half submerged. Now the cylinder is pushed a little in vertical direction and released. It performs oscillations on water surface. Frequency of oscillations ‘f ’ is

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a

f=3g8π2l

b

f=g2π2l

c

f=2g3π2l

d

f=3g16π2l

answer is B.

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Detailed Solution

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m=23πR3ρw-----------(1)

Let ‘x’ be displacement of sphere  πR2(1+πR23πR2)xρwg=mx¨=Restoring

force ----------(2) 

f=2g3π2R

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