Q. Choose the correct statement :
A) Time period of a simple pendulum depends on amplitude
B) Time shown by a spring watch varies with acceleration due to gravity
C) In a simple pendulum time period varies linearly with the length of the pendulum
D) The graph between length of the pendulum and time period is a parabola
Explanation
(d) The relation between time period ($T$) and length of pendulum ($l$) is
$T = 2\pi\sqrt{\frac{l}{g}}$
On squaring and rearranging the terms, we get
$T^{2} = 4\pi^{2}\frac{l}{g}$
Which is general equation $(y^{2} = 4ax)$ of a parabola.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.