JEE Main20248 Apr 2024Evening ShiftPhysicsLaws of MotionActual
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 :
Options
- A1- 1 n^2
- B1-n^2
- C1- 1 n^2
- D1-n^2
Correct answer
C. 1- 1 n^2
Step-by-step solution
Case-1 : No friction aligned & a = g & = 1 2 ( ~g ) t ₁^2 & t ₁= 2 g aligned Case-2 : With friction aligned & a = g - g & = 1 2 ( ~g - g ) t ₂^2 & 2 g - g = n 2 g & =1- 1 n ^2 aligned