Springs A and B are identical except that A is stiffer than B . . .

Question : Springs A and B are identical except that A is stiffer than B, i.e. force constant K_A>K_B. In which spring more work is expected if they are streched by the same amount? Explain. [Mothers Global 2024]

Doubt by Raghav

 

Solution : 

K_A>K_B (Given)

 

We know, 
Potential Energy or Work done in stretching a spring by displacement x is given by ½kx²

W=½kx²

Here both the springs are stretched by equal amount so 
W∝k
∵K_A>K_B
∴W_A>W_B

Hence, more work is expected in the case of spring A.