Question

The graph between the time period and the length of a simple pendulum is

• A. straight line
• B. curve
• C. ellipse
• D. parabola

Answer 1

Answer: (D)

The time period of a simple pendulum is

$T=2\pi \sqrt{\frac{l}{g}}$
Here, $l$ is the length of the pendulum. On squaring both sides
$T^2=\frac{4{\pi }^{2}l}{g}$
$\Rightarrow T^2\propto l$
So, the graph between time period $T$ and length $l$ of the pendulum is a parabola.