Question

Choose the correct statement

• A. Time period of a simple pendulum depends on amplitude
• B. Time shown by a spring watch varies with acceleration due to gravity
• C. In a simple pendulum time period varies linearly with the length of the pendulum
• D. The graph between length of the pendulum and time period is a parabola

Answer 1

Answer: (D)

The relation between time period $(T)$ and length of pendulum $(l)$ is
$T=2\pi \sqrt{\frac{l}{g}}$
On squaring and rearranging the terms, we get
$T^2=4{\pi }^2\frac{l}{g}$
Which is general equation
$(y^2=4ax)$ of a parabola.