Question

A graph between kinetic energy and momentum of a particle is plotted as shown in the figure. The mass of the moving particle is:-

• A. 1 kg
• B. 2 kg
• C. 3 kg
• D. 4 kg

Answer 1

The correct option is B 2 kg

Solution

REF.Image.

We know,

$KE=\frac{1}{2}m{u}^2$

$KE=\frac{1}{2}\frac{(mu{)}^2}{m}$

$KE=\frac{1}{2}\frac{p^2}{m}$

It at p=4, KE=4

$\Rightarrow 4=\left(\frac{1}{2}\right)\frac{(4{)}^2}{m}$

$\Rightarrow m=2kg$

Option - B is correct.