Question

A spring of force constant k is cut into two pieces such that one piece is double the length of the other. Then, the long piece will have a force constant of

• A. (2/3)k
• B. (3/2)k
• C. 3 k
• D. 6 k

Answer 1

Answer: (B)

(3/2)k

Answer 2

$l_1=2l_2 \, \, \, \therefore \, \, \, \, l_1=\frac{2}{3}l$
Force constant $k ? \frac{1}{length \, of \, spring}$
\therefore \hspace30mm k_1=\frac{3}{2}k