Two springs fixed at one end are stretched by 5 cm and 10 cm respectively when masses 0.5 kg and 1 kg are suspended at their lower ends. When displaced slightly from their mean positions and released, they will oscillate with time periods in the ratio:
Correct answer: A. 1 : √2
- A. 1 : √2
- B. 1 : 2
- C. √2 : 1
- D. 2 : 1
- E. 2 : √2
Explanation
First mass = 0.5 kgSecond mass = 1 kgFirst stretch = 5 cmSecond stretch = 10 cm
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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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