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For a body in S.H.M match the statements in column A with that in column B.
Column-I Column-II
a) Velocity is maximum e) At half of the amplitude
b) Kinetic energy is 3/4th of total energy f) At the mean position

c) P.E. is 3/4th of total energy g) At extreme position
d) Acceleration is maximum h) At $\frac{\sqrt{3}}{2}$ times amplitude

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$a - f, b - e, c - h, d - g$

$a - e, b - f, c - g, d - h$

$a - g, b - h, c - e, d - f$

$a - h, b - g, c - f, d - e$

answer is A.

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Detailed Solution

$\begin{array}{l} v_{\max} = A ω \\ K E = \frac{3}{4} (\frac{1}{2} m ω^{2} A^{2}) a t y = \frac{A}{2} \\ p = \frac{3}{4} (\frac{1}{2} m ω^{2} A^{2}) a t y = \frac{\sqrt{3} A}{2} \\ a = - ω^{2} A a t y = A \end{array}$

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