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AIIMS 2008
Exam
AIIMS
Year
2008
Subject
Physics
Chapter
Work, Power and Energy

AIIMS 2008 · Physics · Work, Power and Energy

A bullet is fired from a rifle and the rifle recoils. Kinetic...

A bullet is fired from a rifle and the rifle recoils. Kinetic energy of rifle is

Options

  1. Aless than K.E. of bullet
  2. Bgreater than K.E. of bullet
  3. Cequal to K.E. of bullet
  4. Dnone of the above

Correct answer

B. greater than K.E. of bullet

Step-by-step solution

Momentum of rifle = Momentum of bullet m1v1=m2v2m_1 v_1=m_2 v_2, Also m1>m2m_1>m_2 K.E. of rifle  K.E. of bullet =12m1v1212m2v22=m12v12m1⋅m2m22v22=m2m1\begin{aligned} & \frac{\text{ K.E. of rifle }}{\text{ K.E. of bullet }}=\frac{\frac{1}{2} m_1 v_1^2}{\frac{1}{2} m_2 v_2^2} \\ & =\frac{m_1^2 v_1^2}{m_1} \cdot \frac{m_2}{m_2^2 v_2^2}=\frac{m_2}{m_1}\end{aligned}$$ K.E. of rifle is less than K.E. of bullet.
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