JEE Mains · Physics · STD 11 - 4.2 friction
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 _____.
- A \(3/4\)
- B \(2/3\)
- C \(5/9\)
- D \(4/9\)
Answer & Solution
Correct Answer
(C) \(5/9\)
Step-by-step Solution
Detailed explanation
Let the length of the inclined plane be \(s\). For the smooth inclined plane, the acceleration of the block is \(a_1 = g \sin \theta\). The time taken to slide down is \(t_1 = \sqrt{\dfrac{2s}{a_1}} = \sqrt{\dfrac{2s}{g \sin \theta}}\). For the rough inclined plane, the…
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