Question

A spring of force constant $k$ is cut into two equal halves. The force constant of each half is

• A. $\frac{k}{\sqrt{2}}$
• B. $k$
• C. $\frac{k}{2}$
• D. $2k$

Answer 1

The correct option is D $2k$

For a spring system $kl=$ constant
$\therefore \frac{k^{\prime }}{k}=\frac{l}{l/2}=2$
$\Rightarrow k^{\prime }=2k$
Hence, force constant of each half spring is $2k$.