The angular velocity and the amplitude of a simple pendulum is $\omega $ and $a$ respectively. At a displacement $X$ from the mean position if its kinetic energy is $T$ and potential energy is $V$, then the ratio of $T$ to $V$ is
A${X^2}{\omega ^2}/({a^2} - {X^2}{\omega ^2})$
B${X^2}/({a^2} - {X^2})$
C$({a^2} - {X^2}{\omega ^2})/{X^2}{\omega ^2}$
D$({a^2} - {X^2})/{X^2}$
AIPMT 1991, Medium
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D$({a^2} - {X^2})/{X^2}$
d (d) Kinetic energy $T = \frac{1}{2}m{\omega ^2}({a^2} - {x^2})$
and potential energy, $V = \frac{1}{2}m{\omega ^2}{x^2}$
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