Q.

A linear harmonic oscillator of force constant 2 × 106 N/m and amplitude 0.01m has a total mechanical energy of 160 joules. Its

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a

Minimum P.E. is zero

b

Maximum potential energy is 100J

c

Maximum K.E. is 160J

d

Maximum P.E. is 160J

answer is C.

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Detailed Solution

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Elastic potential energy = 12kx2 == (2 × 106) (0.01)2 = 100 J
The energy is converted into kinetic energy
maximum K.E. = 100 J
Given that total mechanical energy is 160 J , hence maximum potential energy is 160 J.

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