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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?

Solution:

In an SHM, variation of potential energy with displacement d is given by P.E (y) = 1/2kd², which represents the equation of a straight parabola with vertex at d=0. And variation of kinetic energy with displacement d is given by K.E (y) = 1/2k(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.