Energy of a spring-mass oscillator increases if

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its mass is increased keeping the amplitude same

its amplitude is increased but mass is decreased

its speed at the mean position is increased

Both (2) and (3)

answer is D.

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Detailed Solution

T=2πmK and K=mω2 for a spring-mass system. Total mechanical energy = 12KA2.For (A): Since, energy depends on K, A, changing mass does not change energy.For (B): Same explanation as for (A).For (C): Maximum kinetic energy (which is at mean position) = Total mechanical energy = 12KA2It is independent of mass, only depends on K of spring, and amplitude of motion.

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