A heavy but uniform rope of length \( L \) is suspended from a ceil...

A heavy but uniform rope of length \( L \) is suspended from a ceiling. A particle is dropped from the ceiling at the instant when the bottom end is given the jerk. Where will the particle meet the pulse :
(A) at a distance If \( \frac{2 \mathrm{~L}}{3} \) from the bottom
(B) at a distance \( \frac{L}{3} \) from the bottom
(C) at a distance \( \frac{3 \mathrm{~L}}{4} \) from the bottom
(D) None of these