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5.work,energy,power and collision — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics5.work,energy,power and collision1 Mark
MCQ
Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$.

Assertion $A$ : Body $'P'$ having mass $M$ moving with speed $'u'$ has head-on collision elastically with another body $'Q'$ having mass $'m'$ initially at rest. If $m< < M,$ body $'Q'$ will have a maximum speed equal to $'2u'$ after collision.

Reason $R$ : During elastic collision, the momentum and kinetic energy are both conserved.

In the light of the above statements, choose the most appropriate answer from the options given below:

  • A
    $A$ is not correct but $R$ is correct.
  • B
    Both $A$ and $R$ are correct but $R$ is $NOT$ the correct explanation of $A$.
  • ✓
    Both $A$ and $R$ are correct and $R$ is the correct explanation of $A$.
  • D
    $A$ is correct but $R$ is not correct.
✓

Answer

Correct option: C.
Both $A$ and $R$ are correct and $R$ is the correct explanation of $A$.
c
For $e =1$ and second body at rest

$V_{2}=\frac{2 m_{1} u_{1}}{m_{1}+m_{2}}=\frac{2 u(M)}{M+m} \simeq 2 u$

Since $M > >m$

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