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JEE Mains · Physics · STD 11 - Newtons laws of motion
  • JEE Mains 2021
  • Medium
  • MCQ

Two billiard balls of equal mass \(30 \,{g}\) strike a rigid wall with same speed of \(108\, {kmph}\) (as shown) but at different angles. If the balls get reflected with the same speed then the ratio of the magnitude of impulses imparted to ball \('a'\) and ball \('b'\) by the wall along \('X'\) direction is :

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Verified Solution

Answer & Solution

Correct Answer

(B) \(\sqrt{2}: 1\)

Step-by-step Solution

Detailed explanation

Ball (a) \(|\overrightarrow{\Delta p }|=2 mu = J _{1}\)

Ball (b) \(|\overrightarrow{\Delta p }|=2 mu \cos 45^{\circ}= J _{2}\)

\(\frac{J_{1}}{J_{2}}=\frac{1}{\cos 45^{\circ}}=\sqrt{2}\)