For a simple pendulum, a graph is plotted between itskinetic energy `(KE)` and potential energy `(PE)`against its displacement `d`. Which one of the following represents these correctly? (graph are schematic and not drawn to scale)

Options

A.
B.
C.
D.

Answer

B

Explanation

A simple pendulum performs simple harmonic motion. For simple harmonic motion.
Potential energy goes as `(1)/(2) m omega^(2)x^(2)`
The maximum potential energy being `(1)/(2) m omega^(2) A^(2)`. Kinetic energy goes as `(1)/(2)m omega^(1) (A^(2) - x^(2))`.
Graph (2) fits these plots.