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JEE Main 2010
Exam
JEE Main
Year
2010
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

JEE Main 2010 · Physics · Center of Mass, Momentum and Collision

Statement-1 : Two particles moving in the same direction do not...

Statement-1 : Two particles moving in the same direction do not lose all their energy in a completely inelastic collision. Statement-2 : Principle of conservation of momentum holds true for all kinds of collisions. Of the four choices given after the statements, choose the one that best describes the two statements. Of the four choices given after the statements, choose the one that best describes the two statements.Statement-1 : Two particles moving in the same direction do not lose all their energy in a completely inelasticStatement-1 : Two particles moving in the same direction do not lose all their energy in a completely inelastic

Options

  1. AStatement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.
  2. BStatement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement1
  3. CStatement-1 is false, Statement-2 is true.
  4. DStatement-1 is true, Statement-2 is false.

Correct answer

A. Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.

Step-by-step solution

Statement-1 : Two particles moving in the same direction do not lose all their energy in a completely inelastic
If it is a completely inelastic collision then m1v1+m2v2=m1v+m2vv=m1v1+m2v2m1+m2 K⋅E=p122 m1+p222 m2\begin{gathered}m_1 v_1+m_2 v_2=m_1 v+m_2 v \\ v=\frac{m_1 v_1+m_2 v_2}{m_1+m_2}\\ \mathrm{~K} \cdot \mathrm{E}=\frac{\mathrm{p}_1^2}{2 \mathrm{~m}_1}+\frac{\mathrm{p}_2^2}{2 \mathrm{~m}_2} \end{gathered}as p→1\overrightarrow{\mathrm{p}}_1 and p2→\overrightarrow{\mathrm{p}_2} both simultaneously cannot be zero therefore total KE cannot be lost.
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