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A sphere of mass m, attached at its center to a spring on incline as shown in figure, is held in unstretched position of spring. Suddenly the sphere is set free, the maximum extension of spring is (friction is enough to prevent slipping)

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2mg cosθk
2mg sinθk
mg sinθk

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detailed solution

Correct option is C

Maximum elongation 12kx2 = mg sin θ.x by conservation of energyx=2mgsinθk

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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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