Question

Two bodies of masses $m _ { 1 }$ and $m _ { 2 }$ have equal kinetic energies. If $p _ { 1 }$ and $p _ { 2 }$ are their respective momentum, then ratio $p _ { 1 } : p _ { 2 }$ is equal to

• A. $m _ { 1 } : m _ { 2 }$
• B. $m _ { 2 } : m _ { 1 }$
• C. $\sqrt { m _ { 1 } } : \sqrt { m _ { 2 } }$
• D. $m _ { 1 } ^ { 2 } : m _ { 2 } ^ { 2 }$

Answer 1

Answer: (C)

$\sqrt { m _ { 1 } } : \sqrt { m _ { 2 } }$

Answer 2

$P = \sqrt { 2 m E }$ ∴$P \propto \sqrt { m }$ ∴ $\frac { P _ { 1 } } { P _ { 2 } } = \sqrt { \frac { m _ { 1 } } { m _ { 2 } } }$