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JEE Main 201219 MayOnline
Exam
JEE Main
Year
2012
Date
19 May
Mode
Online
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

JEE Main 2012 · 19 May · Online · Physics · Center of Mass, Momentum and Collision

A moving particle of mass m , makes a head on elastic collision...

A moving particle of mass mm, makes a head on elastic collision with another particle of mass 2m2 m, which is initially at rest. The percentage loss in energy of the colliding particle on collision, is close toA moving particle of mass m , makes a head on elastic collision with another particle of mass 2 m , which is initiallyA moving particle of mass m , makes a head on elastic collision with another particle of mass 2 m , which is initially

Options

  1. A33%33 \%
  2. B67%67 \%
  3. C90%90 \%
  4. D10%10 \%

Correct answer

C. 90%90 \%

Step-by-step solution

Fractional decrease in kinetic energy of mass mm=1−(m2−m1m2+m1)2=1−(2−12+1)2=1−(13)2=1−19=89\begin{aligned}& =1-\left(\frac{m_2-m_1}{m_2+m_1}\right)^2=1-\left(\frac{2-1}{2+1}\right)^2 \\ & =1-\left(\frac{1}{3}\right)^2=1-\frac{1}{9}=\frac{8}{9} \end{aligned}$$A moving particle of mass m , makes a head on elastic collision with another particle of mass 2 m , which is initially
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