Question

A pendulum makes perfectly elastic collision with block of $m$ lying on a frictionless surface attached to a spring of force constant $k$. Pendulum is slightly displaced and released. Time period of oscillation of the system is

• A. $2 \pi\left[\sqrt{\frac{\ell}{ g }}+\sqrt{\frac{ m }{ k }}\right]$
• B. $\pi\left[\sqrt{\frac{\ell}{ g }}+\sqrt{\frac{ m }{ k }}\right]$
• C. $2 \pi \sqrt{\frac{\ell}{g}}$
• D. $2 \pi \sqrt{\frac{ m }{ k }}$

Answer 1

Answer: (B)

$\frac{ T _{ S }}{2}+\frac{ T _{ P }}{2}=\pi\left(\sqrt{\frac{ m }{ k }}+\sqrt{\frac{\ell}{ g }}\right)$