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Grade: 12


A tank contains water on top of mercury.A cube of iron,60mm along each edge,is sitting upright in equilibrium in the liquids.Find how much of it is in each liquid.The densities of iron and mercury are 7.7g/cm 3 and 13.6g/cm 3 respectively

9 years ago

Answers : (1)

AKASH GOYAL AskiitiansExpert-IITD
419 Points

Dear Sohan

Suppose x1 length is in water and x2 in mercury

and x1+x2=h=60mm...............(1)

here equilibrium equation will be

Weight = total buoyant force for each medium,  W=B=Bw + Bhg...........(2)

weight=W= density of cubex volumexg= dcx(Axh)xg,   where A is h2



use equation 2

after cancelling terms on rhs and lhs you will get


put values of density


solve for x1 and x2 using 1 and 3

x2=6.7h/12.6= 6.7*60/12.6 = 31.9 mm in mercury

in water=60-31.9=28.1 mm

 All the best.                                                          


AskiitiansExpert-IIT Delhi


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9 years ago
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