Question

The masses of $1g$ and $4g$ are moving with equal kinetic energies. The ratio of the magnitudes of their linear momentum is:

• A. $4:1$
• B. $\sqrt{2}:1$
• C. $1:2$
• D. $1:16$

Answer 1

The correct option is C $1:2$

Let the velocity of mass of 1g be x

And let the velocity of mass of 4g be y

According to question $\frac{x^2}{2}$=$\frac{4y^2}{2}$ which gives x=2y

Then ratio of momentum =$\frac{x}{4y}=\frac{1}{2}$