Q. The time period of a mass suspended from a spring is $T.$ If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then new time period will be
A) $T$
B) $T/2$
C) $2\ T$
D) $T/4$
Explanation
(b) By cutting spring in four equal parts force constant $(K)$ of each parts becomes four times $\left( \because k \propto \frac{1}{l} \right)$ so by using $T = 2\pi\sqrt{\frac{m}{K}};$ time period will be half $i.e.\ T^{'} = T/2$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.