Two bodies are having kinetic energies in ratio 16: 9 . If they have same linear momentum, ratio of

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5.Work, Energy, Power and Collision

easy

Two bodies are having kinetic energies in the ratio $16: 9$. If they have same linear momentum, the ratio of their masses respectively is

A

$4: 3$

B

$3: 4$

C

$16: 9$

D

$9: 16$

(JEE MAIN-2023)

Solution

$\frac{ K _1}{ K _2}=\frac{ p _1^2}{2 m _1} \times \frac{2 m _2}{ p _2^2}=\frac{ m _2}{ m _1}=\frac{16}{9}$

$\frac{ m _1}{ m _2}=\frac{9}{16}$

Standard 11

Physics

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