A solid sphere rolls down two different inclined planes of the same heights but different angles of inclination. In each case, the ball will?
Reach the bottom at the same time
Will take longer time to roll down one plane
Reach the bottom at an unpredictable time
Reach the bottom at the same time and keeps rolling
Answer: Option B
Acceleration of the rolling sphere, a=gsinθ/((1+k2/R2)) Velocity of the sphere at the bottom of the inclined plane, v=√(2gh/((1+k2/R2))) The sphere will take a longer time to roll down one plane than the other. It will take a larger time in case if the plane with smaller inclination because the acceleration is proportional to sinθ.