In both the figures all other factors are same, except that in figure (i) `AB` is rough and `BC` is smooth while in figure (ii) `AB` is smooth and `BC` is rough. In figure (i), if a sphere is released from rest it starts rolling. Now consider the figure (ii), if same sphere is A released from top of the inclined plane, what will be the kinetic energy of the sphere on reaching the bottom: A. is same in both the casesB. is greater in case (i)C. is greater in case (ii)D. information insufficient

In both the figures all other factors are same, except that in figure

1.	In both the figures all other factors are same, except that in figure (i) `AB` is rough and `BC` is smooth while in figure (ii) `AB` is smooth and `BC` is rough. In figure (i), if a sphere is released from rest it starts rolling. Now consider the figure (ii), if same sphere is A released from top of the inclined plane, what will be the kinetic energy of the sphere on reaching the bottom: A. is same in both the casesB. is greater in case (i)C. is greater in case (ii)D. information insufficient
Answer» Correct Answer - D Let `J` be the linear impulse impacted to the ball. Applying impulse `=` change momentum we have `J=mv_(0)`……….i `J.h=Iomega_(0)=2/5mr^(2)omega_(0)`……….ii From eqn i and i we get `omega_(0)=5/2(v_(0)h)/r^(2)`

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