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A tank contains water and mercury as sho...

A tank contains water and mercury as shown in figure. An iron cube of edge `d=6` cm is in equilibrium as shown. (density of iron `=7.8xx10^(3) kg//m^(3)`, density of mercury `=13.6xx10^(3) kg//m^(3)`, density of water `=10^(3) kgm^(3)`)(Neglect the atmospheric pressure)

Time period of small oscillations of block is

A

`2pi sqrt((drho_(Fe))/((rho_(Hg)-rho_(W))g))`

B

`2pi sqrt((drho_(Fe))/((rho_(Hg)+rho_(W))g))`

C

`2pi sqrt((d rho_(Fe))/(rho_(Hg)g))`

D

`2pi sqrt((d rho_(Fe))/(rho_(w)g))`

Text Solution

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The correct Answer is:
A
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