Q. A mass $m$ performs oscillations of period $T$ when hanged by spring of force constant $K.$ If spring is cut in two parts and arranged in parallel and same mass is oscillated by them, then the new time period will be
A) $2T$
B) $T$
C) $\frac{T}{\sqrt{2}}$
D) $\frac{T}{2}$
Explanation
(d) $T \propto \frac{1}{\sqrt{k}} \Rightarrow \frac{T_{2}}{T_{1}} = \sqrt{\frac{k_{1}}{k_{2}}} = \sqrt{\frac{k}{4k}} = \frac{1}{2} \Rightarrow T_{2} = \frac{T_{1}}{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.