A ball of mass m slips down the frictionless inclined planes as shown.
A
The period of oscillation of the ball is greater than 
B
Height attained by ball on inclined plane β is h
C
After two oscillations ball comes to stop
D
Ball performs simple harmonic oscillations
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, b)
Body will attained same height ‘h’ on inclined plane β, because mechanical energy is conserved.
Acceleration along AB = g sin α
h/sinα = AB = 
t AB = 
Similarly,
t BC = 
Time period of oscillation is
T = 2t AB + 2t BC
T = 
+ 
T = 
T > 
{Applying AM > HM}
T > 
Since acceleration is constant and always directed down along the inclined plane, motion is not simple harmonic but only oscillatory.
Since friction is absent, ball never comes to stop.
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