question_answer

For a simple pendulum, the graph between\[{{T}^{2}}\]L is

A)  a straight line passing through the origin

B)  parabola     

C)  circle

D)  ellipse

E)  hyperbola

Correct Answer: A

Solution :

\[T=2\pi \sqrt{\frac{L}{g}}\] Or           \[T\propto \sqrt{L}\]or\[{{T}^{2}}\propto L\] It is linear relation between\[{{T}^{2}}\]and\[l\]hence the graph between\[{{T}^{2}}\]and L is a straight line passing through the origin.