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Two bodies of mass 4 g and 25 g are moving with equal kinetic energies. The ratio of magnitude of their linear momentum is
Asked in JEE Main 27th Jan 1st Shift 2024 · Relating kinetic energy to momentum
- (1) 2 : 5
- (2) 3 : 5
- (3) 4 : 5
- (4) 5 : 4
Answer: (1) 2 : 5
Step-by-step solution
p=√2mK∝√m at equal K.
(p₁)/(p₂)=√4/(25)=2/5.
Why the other options are wrong
- (2) No single slip gives 3 : 5. Sanity check: √4:√25 is exactly 2 : 5.
- (3) No single slip gives 4 : 5; that would need masses in the ratio 16 : 25.
- (4) No single slip gives 5 : 4. Sanity check: the lighter body must have the smaller momentum at equal kinetic energy.
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