For a simple pendulum performing simple harmonic motion, the time period is plotted against its length. The curve will be

Options

(a) straight line
(b) circle
(c) parabola
(d) ellipse

Correct Answer:

parabola

Explanation:

Time period of a simple pendulum performing simple harmonic motion is given by
T = 2π √(l/g) where l is the length of the pendulum
or, T² = 4π²l/g or, T² ∝ l
Graph between T and l is a parabola.