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Q.

A linear harmonic oscillator of force constant 2×106 N/m and amplitude 0.01m has a total mechanical energy of 160J. Which of the following statement is correct.

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a

Maximum kinetic energy is 100 J

b

Maximum potential energy is 60 J

c

Maximum potential energy is 100 J

d

Minimum potential energy is Zero

answer is B.

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Detailed Solution

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KEmax=12KA2=12×2×106×10-4=100 J

At the extreme position all the energy is potential energy = 160 J. i.e. At the equilibrium position, potential energy is not equal to Zero. It is minimum and is equal to 60 J.

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