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MHT CET · Physics · Laws of Motion

Three bodies P, Q and R have masses ' \(\mathrm{m}\) ' \(\mathrm{kg}\), ' \(2 \mathrm{~m}\) ' \(\mathrm{kg}\) and ' \(3 \mathrm{~m}\) ' \(\mathrm{kg}\) respectively. If all the bodies have equal kinetic energy, then greater momentum will be for body/bodies.

  1. A Q
  2. B R
  3. C P and Q
  4. D P
Verified Solution

Answer & Solution

Correct Answer

(B) R

Step-by-step Solution

Detailed explanation

Kinetic energy \(\mathrm{k}=\frac{\mathrm{p}^2}{2 \mathrm{~m}}\) where \(\mathrm{p}\) is the momentum
\(\therefore \mathrm{p}^2=2 \mathrm{mk} \text { or } \mathrm{p}=\sqrt{2 \mathrm{mk}}\)
\(\therefore \mathrm{p} \propto \sqrt{\mathrm{m}}\)
Hence body having greater mass will have greater momentum.