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.