Question

Two masses of 1g and 9g are moving with equal kinetic energies. The ratio of the magnitudes of their respective linear momenta is

• A. 1 : 9
• B. 9 : 1
• C. 1 : 3
• D. 3 : 1

Answer 1

Answer: (C)

1 : 3

Answer 2

$P = \sqrt { 2 m E }$ ∴ $P \propto \sqrt { m }$ if E = constant . So

$\frac { P _ { 1 } } { P _ { 2 } } = \sqrt { \frac { m _ { 1 } } { m _ { 2 } } } = \sqrt { \frac { 1 } { 9 } } = \frac { 1 } { 3 }$ .