NEETPhysicsOscillations
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 . . . . . . . . . . . . . . . . . . . . . . . . . . . . ( 2 ) Equation (2) sugge