A linear harmonic oscillator of force constant `2 xx 106Nm^(-1)` and amplitude `0.01m` has a total mechanical energy `160 J`. Among the followinhg statement , which are correct? i Maximum `PE`is `100J` ii Maximum `KE`is `100J` iii Maximum `PE` is `160J` iv Maximum `PE` is zeroA. Both (i) and (iv)B. Both (ii) and (iii)C. Both (i) and (ii)D. Both (ii) and (iv)

A linear harmonic oscillator of force constant `2 xx 106Nm^(-1)` and a

1.	A linear harmonic oscillator of force constant `2 xx 106Nm^(-1)` and amplitude `0.01m` has a total mechanical energy `160 J`. Among the followinhg statement , which are correct? i Maximum `PE`is `100J` ii Maximum `KE`is `100J` iii Maximum `PE` is `160J` iv Maximum `PE` is zeroA. Both (i) and (iv)B. Both (ii) and (iii)C. Both (i) and (ii)D. Both (ii) and (iv)
Answer» Correct Answer - B Total mechanical energy is `E_(T) = 160 J` `:. U_(max) = 160 J` At extreme position `KE` is zero , Work done by spring force extreme position to mean position is `W = (1)/(2) kA^(2)` `:. K_(max) = W = (1)/(2) (2 xx 10^(6) )(0.01)^(2) = 100 J` `:. U _(min) = 160-100 = 60J`

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