JEE Main · 2026 · 22 Jan 2026 · Shift 2 · Elasticity & SHM

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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?

(A)(see structure)
(B)(see structure)
✓ Correct
(C)(see structure)
(D)(see structure)

Answer: (B)

Solution

From

T = 2 π \frac{L}{g}

T^{2} = \frac{4 π ^{2}}{g} L

, so

\frac{1}{T ^{2}} = \frac{g}{4 π ^{2}} \cdot \frac{1}{L} .

Hence

\frac{1}{T ^{2}}

is inversely proportional to

L

, and a graph of

\frac{1}{T ^{2}}

against

L

is a rectangular hyperbola that falls steeply for small

L

and flattens towards the axis as

L

increases. The plot showing this decreasing hyperbola represents the correct relation.

JEE Main · 2026 · 22 Jan 2026 · Shift 2 · Single correct option

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