Potential energy vs. displacement graph in SHM is:
Correct answer: B. Parabola
- A. Straight line
- B. Parabola
- C. Circle
- D. Exponential
Explanation
The potential energy versus displacement graph in Simple Harmonic Motion (SHM) is a parabola because the potential energy (U) is proportional to the square of the displacement (x), described by the equation U = 1/2kx². This quadratic relationship results in a U-shaped or bowl-shaped curve, which is characteristic of a parabola.
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About Simple Harmonic Motion
Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.
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