MHT CET · Physics · Oscillations
The graph between the time period and the length of a simple pendulum is
- A straight line
- B curve
- C ellipse
- D parabola
Answer & Solution
Correct Answer
(D) parabola
Step-by-step Solution
Detailed explanation
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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