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 ?
Options

Question

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 ?

G1 Physics · Accepted Answer

For a simple pendulum, T = 2π√(L/g). Squaring, T² = 4π²L/g. Therefore, 1/T² = g/(4π²L). Hence, 1/T² ∝ 1/L. So the graph of 1/T² versus L is a decreasing rectangular-hyperbola type curve. Among the given plots, this corresponds to option (2). Correct option: B.