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SOHAN SARANGI 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/cm3 and 13.6g/cm3 respectively

6 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


Bw=dw*(A*x1)*g


Bhg=dhg*(A*x2)*g


use equation 2


after cancelling terms on rhs and lhs you will get


dc*h=dw*x1+dhg*x2


put values of density


7.7h=x1+13.6x2..............(3)


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.                                                          


AKASH GOYAL


AskiitiansExpert-IIT Delhi


 


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6 years ago
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