The graph between time period (`T`) and length (`l`) of a simple pendulum is

Options

A. straight line
B. curve
C. ellipse
D. parabola

Answer

D

Explanation

The time period of a simple pendulum is
`T = 2pisqrt((l)/(g))`
Here, I is the length of the pendulum.
On squaring both sides
`T^(2) = (4pi^(2)//)/(g) rArr T^(2) prop l`
SO, the graph between time period T and length I of the pendulum is a parabola.