Two wheels A and B of same radii starts rolling with same angular velocity up a rough inclined and smooth inclined plane respectively. The angle of inclination of both the planes is same.Now match the given columns and select the correct option from the codes given below.

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i-s, ii-q, iii-p,iv-s

i-q, ii-s, iii-r, iv-p

i-r, ii-p, iii-s, iv-q

i-s, ii-r, iii-q, iv-s

answer is B.

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Detailed Solution

The maximum height gained depends upon translational velocity. The retarding force for translational velocity is more for smooth inclined plane.Retarding force for translational velocity for wheel A ,is lesser than B as the friction support rollingRetarding force for translational velocity for wheel B = mg sin θIf s be the maximum length of path traversed by the wheel , a be the deceleration then 0=0=v2-2as where s=h/Sin θ.So maximum height h is independent of angular velocity.

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