Question

If the linear momentum is increased by 5%, the kinetic energy will increase by

• A. 50 %
• B. 100 %
• C. 125 %
• D. 10 %

Answer 1

The correct option is D 10 %

As $E=\frac{p^2}{2m}$
$\therefore \frac{dE}{E}=2\left(\frac{dp}{p}\right)=2\times 5$% $=10$%