Question

If a spring has time period $T$, and is cut into $n$ equal parts, then the time period of each part will be

• A. $T\sqrt{n}$
• B. $T/\sqrt{n}$
• C. n T
• D. T

Answer 1

Answer: (B)

When spring is cut into $n$ equal parts then spring constant of each part will be $nk$ and so using $T\propto \frac{1}{\sqrt{k}}$, time period will be $T/\sqrt{n}$