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A spherical shell of mass `M` and radius `R` filed completely with a liquid of same mass and set to rotate about a vertical axis through its centre has a moment of inertia `I_(1)` about the axis. The bottom. If moment of inertia of the system is `I_(2)` when the shell is half filled and `I_(3)` is the moment of inertia when entire water drained off then :A. `(I_(1))/(I_(2)) ~~ 1.5`B. `(I_(1))/(I_(2)) ~~0.67`C. `(I_(1))/(I_(3)) ~~ 1.6`D. `(I_(2))/(I_(3)) ~~ 1.4` |
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Answer» Correct Answer - C A spherical shell …………. `(C ) I_(1) = (2)/(3)MR^(2)+(2)/(5)MR^(2)= (16)/(15)MR^(2)` `I_(2) = (2)/(3) MR^(2)+(2)/(5)(M)/(2)R^(2)=(13)/(15)MR^(2)` `I_(3)=(2)/(3)MR^(2)` , `(I_(1))/(I_(3)) = 1.6` |
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