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)

$\frac{T_S}{2}+\frac{T_P}{2}=\pi \left(\sqrt{\frac{m}{k}}+\sqrt{\frac{\ell }{g}}\right)$