Question

If the kinetic energy of a body increases by 0.1%, the percent increase of its momentum will be

• A. 0.05%
• B. 0.1%
• C. 1.0%
• D. 10%

Answer 1

Answer: (A)

0.05%

Answer 2

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

Percentage increase in$P = \frac { 1 } { 2 }$(percentage increase in E)

= $\frac { 1 } { 2 } ( 0.1 \% ) = 0.05 \%$