AIPMT | 2015Work, Power and EnergyHard

Question

Two similar springs P and Q have spring constants KP and KQ, such that KP > KQ. The are stretched, first by the same amount (case a,) then by the same force (case b). The work done by the springs WP and WQ are related as, in case (a) and case (b), respectively :

Options

A.WP = WQ ; WP = WQ
B.WP > WQ ; WQ > WP
C.WP < WQ ; WQ < WP
D.WP = WQ ; WP > WQ

Solution

Given KP > KQ
Case (a) : x1 = x2 = x
⇒ WP > WQ
Case (b) : F1 = F2 = F
For constant force
W =
So ⇒ WQ > WP
Hence option (2)

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