Question

Two bodies A and B having masses in the ratio of 3 : 1 possess the same kinetic energy. The ratio of their linear momenta is then

• A. 3 : 1
• B. 9 : 1
• C. 1 : 1
• D. $\sqrt { 3 } : 1$

Answer 1

Answer: (D)

$\sqrt { 3 } : 1$

Answer 2

$P = \sqrt { 2 m E }$∴ $\frac { P _ { 1 } } { P _ { 2 } } = \sqrt { \frac { m _ { 1 } } { m _ { 2 } } }$ (if E = constant)

∴ $\frac { P _ { 1 } } { P _ { 2 } } = \sqrt { \frac { 3 } { 1 } }$