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JEE Main20231 Feb 2023Evening ShiftPhysicsOscillationsActual

Choose the correct length ( L ) versus square of time period ( T 2 ) ) graph for a simple pendulum executing simple harmonic motion.

Correct answer

2

Step-by-step solution

A simple pendulum consists of a point mass attached to an inextensible string and suspended from a support. The formula to calculate the time period T of a simple pendulum is given by T = 2 π l g . . . . . . . . . . . . . . . . . . . . . . . ( 1 ) where, l is the length of the pendulum and g is the acceleration due to gravity. Simplify equation (1) to obtain the relation between the time period and the length. T 2 = 4 π 2 g × 𝓁 T 2 ∝ l . . . . . . . . . . . . . . . . . . . . . . . . . .

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