JEE Main 2024 Physics question

PhysicsLaws of MotionJEE Main 2024

A given object takes n times the time to slide down 45° rough inclined plane as it takes the time to slide down an identical perfectly smooth 45° inclined plane. The coefficient of kinetic friction between the object and the surface of inclined plane is:

Answer: (A)

Solution

= g sin 45° and = g sin 45°(1 − μ). From t ∝ 1/√a: n² = 1/(1 − μ), so μ = 1 − 1/n².

Question ID VK-012401