JEE Mains · Physics · STD 11 - 5. work,energy,power and collision
Three bodies \(A, B\) and \(C\) have equal kinetic energies and their masses are \(400 \mathrm{~g}, 1.2 \mathrm{~kg}\) and \(1.6 \mathrm{~kg}\) respectively. The ratio of their linear momenta is _______.
- A \(1: \sqrt{3}: 2\)
- B \(1: \sqrt{3}: \sqrt{2}\)
- C \(\sqrt{2}: \sqrt{3}: 1\)
- D \(\sqrt{3}: \sqrt{2}: 1\)
Answer & Solution
Correct Answer
(A) \(1: \sqrt{3}: 2\)
Step-by-step Solution
Detailed explanation
\(\mathrm{KE}=\frac{\mathrm{P}^2}{2 \mathrm{~m}}\) \(\mathrm{P} \propto \sqrt{\mathrm{m}}\) \(\text { Hence, } \mathrm{P}_{\mathrm{A}}: \mathrm{P}_{\mathrm{B}}: \mathrm{P}_{\mathrm{C}}\) \(=\sqrt{400}: \sqrt{1200}: \sqrt{1600}=1: \sqrt{3}: 2\)
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