A block takes time t to slide from rest down a rough plane inclined at 45° to the horizontal. If the same plane is made perfectly smooth, the block takes time t/2 to cover the same distance from rest. If the coefficient of friction on the rough plane is μ = α/100, find α.

Physics · Newtons law of motion and Friction · friction and single block problem

JEE Mains 2026 6 April Evening Shift

A block takes time t to slide from rest down a rough plane inclined at 45° to the horizontal. If the same plane is made perfectly smooth, the block takes time t/2 to cover the same distance from rest. If the coefficient of friction on the rough plane is μ = α/100, find α.