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NDA 2016 GAT · General Knowledge · Motion, Forces and Gravitation · medium

If the linear momentum of a body is doubled while its mass remains constant, its kinetic energy becomes

Single correct option

If the linear momentum of a body is doubled while its mass remains constant, its kinetic energy becomes
  1. A. two times
  2. B. half
  3. C. four times
  4. D. unchanged
Show answer and solution

Answer: (C) four times

Kinetic energy can be written as K = p²/(2m). With mass fixed, doubling p multiplies K by 2² = 4. The trap is to say two times, which would be correct if kinetic energy were proportional to momentum rather than to its square. For fixed mass, doubling speed likewise quadruples kinetic energy.
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Original question written in the NDA 2016 GAT pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake