Q.
Energy of a spring-mass oscillator increases if
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a
its mass is increased keeping the amplitude same
b
its amplitude is increased but mass is decreased
c
its speed at the mean position is increased
d
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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