If the amplitude of a simple pendulum is increased four times, then its time period will
Correct answer: B. Remain the same.
- A. Reduce to half.
- B. Remain the same.
- C. Increase two times.
- D. Decrease four times.
Explanation
The time period of a simple pendulum is given by the formula T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity. This formula shows that the time period is independent of the amplitude of the swing, provided the amplitude is small (small-angle approximation). Therefore, increasing the amplitude four times will not affect the time period, meaning it will remain the same. The incorrect options suggest changes in the time period, which contradict the properties of a simple pendulum.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
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.
Practise Waves
1,281 free Waves MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Simple Harmonic Motion questions
If a simple pendulum is shifted from Karachi to the peak of K-2 mountain, then its time period
In desert Safari, drivers use best quality of shock absorbers in their cars to createI.free oscillationII.forced OscillationIII.damed oscillation
A particle is moving in a circle with uniform speed,for which the projection of the particle is moving along the diametre of the circle.In the given situation, the motion of projection is
When a car moves on any uneven surface, then its shock absorbers play an important role. The working of shock absorbers exemplifies
When the bob of a simple pendulum is at the mean position during oscillation, its kinetic energy will
All of the following are the examples of free oscillation EXCEPT