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NEET 2015 (AIPMT, Cancelled Paper) · Spring & Elastic Energy

Spring & Elastic Energy question from NEET 2015 (AIPMT, Cancelled Paper)

Q20NEET 2015 · AIPMT · CANCELLED PAPERMedium

Spring & Elastic Energy

Two similar springs P and Q have spring constants KP and KQ, such that KP > KQ. They 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

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Answer: (a)

Same stretch: $W = \frac{1}{2}kx^2 \propto k$ , and $K_P > K_Q$ , so $W_P > W_Q$ .
Same force: $W = \frac{F^2}{2k} \propto \frac{1}{k}$ , so $W_Q > W_P$ .
So the answer is (a) $W_P > W_Q$ ; $W_Q > W_P$ .

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