Three bodies A, B and C have equal kinetic energies and their masses are $400 \mathrm{~g}, 1.2 \mathrm{~kg}$ and 1.6 kg respectively. The ratio of their linear momenta is :

JEE Main · 2024 · 08 Apr 2024 · Shift 1 · Work, Power & Energy

Three bodies A, B and C have equal kinetic energies and their masses are

400 g, 1.2 kg

and 1.6 kg respectively. The ratio of their linear momenta is :

(A) $1 : 3 : 2$ ✓ Correct
(B) $1 : 3 : 2$
(C) $2 : 3 : 1$
(D) $3 : 2 : 1$

Answer: (A)

Solution

For a body,

K E = \frac{p ^{2}}{2 m}

, so at equal kinetic energy

p \propto m

p_{A} : p_{B} : p_{C} = 400 : 1200 : 1600 = 20 : 203 : 40 = 1 : 3 : 2

Option (A).

JEE Main · 2024 · 08 Apr 2024 · Shift 1 · Single correct option

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