Q 11-05-003NEETNEET 2026Top questionEasy
Bob $B$ of mass $m$ at rest is hanging vertically from the ceiling via a massless string of length $10$ m, as shown in the figure. Point mass $A$ of mass $m$ travelling horizontally with speed $10\ \text{m s}^{-1}$ hits bob $B$ elastically. The bob $B$ rises $h$ meter after the collision. Taking the acceleration due to gravity $g = 10\ \text{m s}^{-2}$ and neglecting the size of the bob, the value of $h$ is :
Answer: (C) $5$
Concept. Elastic collision of equal masses exchanges velocities; then energy conservation for the bob.
Step 1. After collision. B moves off at $10$ m/s.
Step 2. Height. $h = \dfrac{100}{20} = 5$ m (less than the string length, so the string stays taut).
Answer. $5$ (Option C).
Solution by Sreeraj P, M.Sc Physics