There are n elastic balls placed on a smooth horizontal plane. The masses of the balls are \(\mathrm{m}, \frac{\mathrm{m}}{2}, \frac{\mathrm{~m}}{2^2}, \ldots \frac{\mathrm{m}}{2^{\mathrm{n}-1}}\) respectively. If the first ball hits the second ball with velocity v0, then the velocity of the nth ball will be,
1
\(\frac{4}{3} \mathrm{v}_0\)
2
\(\left(\frac{4}{3}\right)^{\mathrm{n}} \mathrm{v}_0\)
3
\(\left(\frac{4}{3}\right)^{\mathrm{n}-1} \mathrm{v}_0\)
4
v0