InterviewSolution
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InterviewSolution
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A solid sphere of uniform density and radius 4 units is located with its centre at the origin O of coordinates. Two sphere of equal radii 1 unit, with their centres at A(-2,0 ,0) and B(2,0,0) respectively, are taken out of the solid leaving behind spherical cavities as shown if fig Then: A. `(31GM)/1024`B. `(Gm)/1024`C. `31GM`D. zero |
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Answer» Correct Answer - D Let `rho=` density of sphere `R=`radius of sphere, `r=`radius of the spherical cavities. Mass of the complete sphere `=4/3piR^(3)rho=M` Mass of the removed sphere `=4/3pir^(3)rho=m` Here `m=(Mr^(3))/(R^(3))=(M(1)^(3))/((4)^(3))=M/64` Now `vecI_(r)=vecI+vecI_(P)+vecI_(Q)` Here `I=0, also vecI_(P)=-vecI_(Q)impliesI_(R)=0` |
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