Question

In case of a simple pendulum, the time period versus length graph is correctly depicted by:

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Time period of a pendulum,
$T=2\pi \sqrt{\frac{l}{g}}$
$T^2=\frac{4{\pi }^{2}l}{g}...\left(i\right)$
Here, $T^2\propto l$
Eq.$\left(i\right)$ is simillar to the equation of parabola $y^2=4ax$, where $y\to T,\&x\to l$
$\Rightarrow (T-l)$ graph will be a parabola, with its axis about $l-$axis
$\therefore$Option $\left(b\right)$ is correct.