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Asked in NEET 1999 · Relating kinetic energy to momentum
Given: equal momenta, with K₁:K₂=4:1.
Idea: at fixed momentum, K=(p²)/(2m), so the energy is inversely proportional to the mass.
(K₁)/(K₂)=(m₂)/(m₁)=4/1.
So m₂=4m₁.
(m₁)/(m₂)=1/4.
The ratio of their masses is 1:4.
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