Question

A uniform spring of force constant $k$ is cut into two pieces, the lengths of which are in the ratio $1:2$ .The ratio of the force constants of the shorter and the longer pieces is

• A. $1:3$
• B. $1:2$
• C. $2:3$
• D. $2:1$

Answer 1

Answer: (D)

$2:1$

Force constant $\left(k\right)\propto \frac{1}{Lengthofthespring\left(l\right)}$

$\Rightarrow \frac{k_1}{k_2}=\frac{l_2}{l_1}=\frac{2}{1}$