Q135 / 160 · WBJEE 2009 · Physics

Two particles have masses $\mathrm{m} \& 4 \mathrm{~m}$ and their kinetic energies are in the ratio $2: 1$. What is the ratio of their linear momenta?

  • Correct answer
    A
    $\frac{1}{\sqrt{2}}$
  • B
    $\frac{1}{2}$
  • C
    $\frac{1}{4}$
  • D
    $\frac{1}{16}$

Solution

$\frac{K E_1}{K E_2}=\frac{\frac{p_1^2}{2 m}}{\frac{p_2^2}{2 \times 4 m}}=\frac{2}{1} \Rightarrow \frac{p_1}{p_2}=\frac{1}{\sqrt{2}}$

Hence, the correct answer is option: 'A'.

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