While noting the time period of a simple pendulum, the amplitude of vibration should be kept:
Correct answer: B. As small as possible
- A. Reasonably large for easy measurement
- B. As small as possible
- C. Without any restriction
- D. Very large because formula T = 2π√(L/g) is derived accordingly
Explanation
The small-angle approximation (sinθ ≈ θ) underlies the standard period formula. Keeping amplitude small (typically <5°) ensures the motion is nearly simple harmonic and the measured period matches theory. Larger amplitudes introduce nonlinear corrections and systematic error.
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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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