The time taken by a block of mass m to slide down from the highest… | JEE Main 2026 (4 Apr, Shift 1)

Q3JEE Main 2026 · 4 APR · SHIFT 1Medium

Friction on an Incline

The time taken by a block of mass $m$ to slide down from the highest point to the lowest point on a rough inclined plane is $50\%$ more compared to the time taken by the same block on identical inclined smooth plane. Both inclined planes are at $45^\circ$ with the horizontal. The coefficient of kinetic friction between the rough inclined surface and block is ______

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Answer: (c)

At $45^\circ$ : $\dfrac{t_r}{t_s} = \sqrt{\dfrac{a_0}{a}} = \dfrac{1}{\sqrt{1-\mu}}$ .
50% more time: $\dfrac{t_r}{t_s} = 1.5 \Rightarrow 1 - \mu = \dfrac{1}{2.25} = \dfrac{4}{9}$
So the answer is (c) $\mu = \dfrac{5}{9}$ .

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