Question

When the kinetic energy of a body is increased to three times, then the momentum increases

• A. $6times$
• B. $1.732times$
• C. $\sqrt{2}times$
• D. $2times$

Answer 1

The correct option is B $1.732times$

$P=$ momentum, $K=$ kinetic energy, then

${P_1}^2=2m{K}_1,P_2^2=2m{K}_2$.

$\therefore {\left[\frac{P_2}{P_1}\right]}^2$

$=\frac{K_2}{K_1}=\frac{3K_1}{K_1}=3$

$\therefore \frac{P_2}{P_1}$

$=\sqrt{\frac{3}{1}}=1.732$