JEE Main 2026 Jan 22 Shift 2, Physics Q2: SHM in Pendulums

JEE Main2026Jan 22, Shift 2Physics

Using a simple pendulum experiment $g$ is determined by measuring its time period $T$ . Which of the following plots represent the correct relation between the pendulum length $L$ and time period $T$ ?

Solution

For a simple pendulum, $T = 2 π \frac{L}{g}$ , so $T^{2} = \frac{4 π ^{2} L}{g}$ .

Rearranging: $\frac{1}{T ^{2}} = \frac{g}{4 π ^{2} L}$ .

This is of the form $y = \frac{k}{x}$ — a rectangular hyperbola decreasing as $L$ increases. Matches option (2).

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JEE Main 2026 Jan 22 Shift 2, Physics Q2: SHM in Pendulums

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