Question

For a simple pendulum, the graph between ${{T}^{2}}$ and $L$ is

• A. a straight line passing through the origin
• B. parabola
• C. circle
• D. ellipse

Answer 1

Answer: (A)

a straight line passing through the origin

Answer 2

$T=2\pi \sqrt{\frac{L}{g}}$
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.