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JEE Main Physics question

PhysicsLaws of MotionJEE Main

The upper half of an inclined plane with inclination 14° is perfectly smooth while the lower half is rough. A body starting from rest at the top will again come to rest at the bottom if the coefficient of friction for the lower half is μ = . (Take tan14° = 0.25)

Answer: 0.5

Solution

Let the total incline length be s, so each half is s/2. Over the smooth upper half: v² − 0 = 2(g sinθ)(s/2) ⟹ v² = g sinθ·s. Over the rough lower half,

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Question ID VK-154223