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The graph between the time period and the length of a simple pendulum is
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Verified Answer
The correct answer is:
parabola
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
$$
\begin{aligned}
& T^{2}=\frac{4 \pi^{2} l}{g} \\
\Rightarrow \quad & T^{2} \propto l
\end{aligned}
$$
So, the graph between time period $T$ and length $l$ of the pendulum is a parabola.
$$
T=2 \pi \sqrt{\frac{l}{g}}
$$
Here, $l$ is the length of the pendulum. On squaring both sides
$$
\begin{aligned}
& T^{2}=\frac{4 \pi^{2} l}{g} \\
\Rightarrow \quad & T^{2} \propto l
\end{aligned}
$$
So, the graph between time period $T$ and length $l$ of the pendulum is a parabola.
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