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NDA 2021 GAT · General Knowledge · Work, Energy and Power · medium

Two bodies of masses m and 4m have equal kinetic energy. The ratio of their linear momenta is

Single correct option

Two bodies of masses m and 4m have equal kinetic energy. The ratio of their linear momenta is
  1. A. 1 : 4
  2. B. 2 : 1
  3. C. 1 : 1
  4. D. 1 : 2
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Answer: (D) 1 : 2

Momentum p = sqrt(2mK). For equal K, p is proportional to sqrt(m). The ratio is sqrt(m) : sqrt(4m) = 1 : 2. Choosing 1 : 4 confuses momentum with mass ratio, and 1 : 1 is true only for equal masses.
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Original question written in the NDA 2021 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