Which of the following graphs indicates the variation in kinetic energy of a particle executing simple harmonic motion?

Explanation

The correct answer is Option B. In simple harmonic motion, the kinetic energy (KE) of a particle is given by the equation KE = (1/2)mv², where 'v' is the velocity of the particle. The velocity is maximum at the equilibrium position and zero at the maximum displacement positions, leading to a parabolic variation of kinetic energy with respect to displacement, which is depicted by a squared relation. Option A is incorrect because a sinusoidal graph represents functions like displacement or velocity over time, not kinetic energy. Option C is incorrect because kinetic energy does not vary linearly; it depends on the square of the velocity. Option D is incorrect because the kinetic energy is not constant; it varies periodically.