Question

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

A
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B
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C
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D
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Solution

## The correct option is B In an SHM, variation of potential energy with displacement d is given by PE (y)=12kd2, which represents the equation of a straight parabola with vertex at d=0. And variation of kinetic energy with displacement d is given by KE (y)=12k(a2−d2), which represents the equation of an inverted parabola with vertex at d=a. Here, a is the amplitude of the SHM. Hence the correct choice is B.

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