If the value of g is made g/16, what will be the effect on time period of pendulum?
Correct answer: C. Four times
- A. Doubled
- B. Halved
- C. Four times
- D. One fourth
Explanation
The time period of a simple pendulum is given by the formula: T = 2π√(L/g)where:T is the time periodL is the length of the pendulumg is the acceleration due to gravityIf the value of g is made g/16, then the time period will become: T' = 2π√(L/(g/16)) = 2π√(16L/g) = 4 * 2π√(L/g) = 4TTherefore, the time period of the pendulum will become four times the original time 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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