Question

Two springs have spring constant $k_A$ and $k_B$ and $k_A>k_B$. The work required to stretch them by same extension will be:

• A. more in spring A
• B. more in spring B
• C. equal in both
• D. nothing can be said

Answer 1

The correct option is A more in spring A

Work done $W=\frac{1}{2}k{x}^2$

where $k$ and $x$ are the spring constant and extension of the spring respectively.

$⟹W\propto k$ (for same $x$ )

$\therefore$ $k_A>k_B$ $⟹W_A>W_B$

Thus work required to stretch the spring $A$ is more.