Two similar springs `P` and `Q` have spring constant `K_(P)` and `K_(Q)` such that `K_(P) gt K_(Q)`. They are stretched, first by the same amount (case a), then the same force (case b). The work done by the spring `W_(P)` and `W_(Q)` are related as, in case (b), respectively

Options

A. `W_P = W_Q , W_P = W_Q`
B. `W_P gt W_Q , W_Q gt W_P`
C. `W_P lt W_Q , W_Q lt W_P`
D. `W_P = W_Q , W_Q gt W_P`

Answer

B

Explanation

If extension is same `W =1/2 Kx^2 , ` So `W_P gt W_Q`
If spring force is same `W=F^2/(2K) ` , So `W_Q gt W_P`