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A wedge of mass 2m is placed on a horizontal smooth surface and a solid cylinder of mass m is placed on the wedge as shown in figure. Surface between wedge and cylinder is sufficiently rough to allow pure rolling. Choose the correct options.

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Ratio of translational kinetic energy of cylinder to that of wedge will be dependent on surface between cylinder and wedge (rough or smooth)

Kinetic energy of cylinder will be more in comparison to situation when surface between cylinder and wedge is smooth

Momentum of system of wedge and cylinder remains conserved in horizontal direction

Ratio of translational kinetic energy of cylinder to the kinetic energy of wedge will be independent of surface between cylinder and wedge (rough or smooth)

answer is A, B, C.

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Detailed Solution

$\begin{aligned} mgh = (K . E)_{Trans} + (K . E)_{Rot} \\ (K . E)_{Rot} = W . D by friction \end{aligned}$

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