Home Physics Work, Energy, Power and Collision Conservation of Energy and Momentum The ratio of masses of two balls is 2 : 1 an…
Physics Work, Energy, Power and Collision Conservation of Energy and Momentum MCQ (Single Correct)

The ratio of masses of two balls is 2 : 1 and before collision the ratio of their velocities is 1 : 2 in mutually opposite direction. After collision each ball moves in an opposite direction to its initial direction. If e = (5/6), the ratio of speed of each ball before and after collision would be

A
(5/6) times
B
Equal
C
Not related
D
Double for the first ball and half for the second ball

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Text Solution

Verified by Experts
The correct answer is:
A

Let masses of the two ball are 2m and m, and their speeds are u and 2u respectively.

By conservation of momentum

⇒ ⇒

⇒ ⇒ v 2 = 2v 1

Coefficient of restitution =

[As given]

⇒ ⇒ ratio of the speed of first ball before and after collision.

Similarly, we can calculate the ratio of second ball before and after collision, .

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