In the diagram below, the displacement of an oscillating particle is plotted against time. What does the length 'PR' on the time axis represent?
Correct answer: B. Half the period
- A. Twice the frequency
- B. Half the period
- C. Half the frequency
- D. Twice the period
Explanation
The displacement-time graph of an oscillating particle can be used to find important characteristics of its motion, such as amplitude, frequency, and period. The period of an oscillation is the time taken for the oscillating particle to complete one full cycle of motion. In the given diagram, the length PR on the time axis represents the period of the oscillation. And since PR is half the distance between two successive peaks or troughs of the oscillation, it represents half of the period.
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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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