Question

The graph is drawn between $\sqrt{KE}$ & momentum of a body taking on x & y-axis respectively, having inclination ${60}^{\circ }$. Then the mass of the body is ?

• A. $\frac{3}{2}kg$
• B. $6kg$
• C. $3kg$
• D. $18kg$

Answer 1

The correct option is A $\frac{3}{2}kg$

We know,

$p=\sqrt{2mK}$

slope$=\frac{dp}{d\sqrt{K}}=\frac{\sqrt{2mK}}{\sqrt{K}}=\sqrt{2m}$

Now ,

Slope $=\tan \theta =\tan {60}^0=\sqrt{3}=\sqrt{2m}$

$m=\frac{3}{2}$

Option $\text{A}$ is the correct answer