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AIIMS 2010
Exam
AIIMS
Year
2010
Subject
Physics
Chapter
Work, Power and Energy

AIIMS 2010 · Physics · Work, Power and Energy

Assertion : If momentum of a body increases by 50 \% , its kinetic...

Assertion : If momentum of a body increases by 50%50 \%, its kinetic energy will increase by 125%125 \%. Reason : Kinetic energy is proportional to square of velocity.

Options

  1. AIf both assertion and reason are true and reason is the correct explanation of assertion
  2. BIf both assertion and reason are true but reason is not the correct explanation of assertion
  3. CIf assertion is true but reason is false
  4. DIf both assertion and reason are false.

Correct answer

A. If both assertion and reason are true and reason is the correct explanation of assertion

Step-by-step solution

As, p2=p1+50%p_2=p_1+50 \% of p1=(3/2)p1p_1=(3 / 2) p_1 \therefore \quad v_2=(3 / 2) v_1 As, kinetic energy, K∝v2K \propto v^2 \therefore K_2=94\frac{9}{4}K_1 Increase in K.E.=(K2−K1)×100K1=125%\mathrm{K} . \mathrm{E} .=\frac{\left(K_2-K_1\right) \times 100}{K_1}=125 \%.
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