JEE Main 2026 — Jan 22, Shift 2 — Physics solution

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).

← Back to full paper

Practice more Physics

Concept-wise practice with instant solutions on Fundamenthol.

Start practicing →