While determining the expression for time period of simple pendulum, we keep the amplitude:
Correct answer: B. Small
- A. Large
- B. Small
- C. Maximum
- D. Zero
Explanation
If we consider a pendulum, we can see simple harmonic motion in it. According to the formula T = 2π √L/g , where L is the length of the string in the pendulum and T is its time period, Time period does not depend on amplitude. So if the amplitude value is kept small, then the oscillations are smooth as the time period is independent of amplitude. Amplitude must be small because the "time period does not depend on amplitude" rule applies to pendulums only if it is exhibiting simple harmonic motion.
This question appeared on the ETEA MDCAT 2005 paper, which you can sit online with every answer explained.
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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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