Question

Two masses of $1g$ and $9g$ are moving with equal kinetic energies. The ratio of the magnitudes of their respective linear momentum is

• A. $1:9$
• B. $9:1$
• C. $1:3$
• D. $3:1$

Answer 1

The correct option is D $3:1$

Let the velocity of mass of 1g be x

And let the velocity of mass of 9g be y

According to question $\frac{x^2}{2}$=$\frac{9y^2}{2}$ which gives x=2y

Then ratio of momentum =$\frac{x}{9y}=\frac{1}{3}$