A ball is bouncing down a set of stairs. The coefficient of restitution is e. The height of each step is d and the ball bounces one step at each bounce. After each bounce the ball rebounds to a height h above the next lower step. Neglect width of each step in comparison to h and assume the impacts to be effectively head on. Which of the following relation is correct ? (given that h > d)
A
=1 – e 2
B
= 1 – e
C
= 
D
= 
Text Solution
Verified by ExpertsThe correct answer is:
C
Velocity of the ball on striking = 
After that ball goes to height less than (h) due to inelastic collission = 
= 
∴ 
= 
e
h – d = e 2 h ⇒ 
= 
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