To make frequency of spring oscillation four times, we have to:
Correct answer: C. Reduce mass to one sixteenth
- A. Reduce mass to one fourth
- B. Quadruple the mass
- C. Reduce mass to one sixteenth
- D. Double the mass
Explanation
Frequency of the spring oscillator is directly protion to √(1/m). Thus to quadraple the frequency, we will have to reduce the mass by 1/16
This question appeared on the NUMS 2021 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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