A simple harmonic oscillator has a period T and energy E. the amplitude of the oscillator is doubled choose the correct answer
Correct answer: D. Period remain same, and Energy becomes 4 times.
- A. Period and energy get double.
- B. Period gets doubled while energy remain same
- C. Energy gets doubled while Period remain same
- D. Period remain same, and Energy becomes 4 times.
Explanation
The period (T) of a simple harmonic oscillator is independent of its amplitude. The period is solely determined by the mass of the object and the force constant (spring constant for a spring) according to the formula:T=2π√m/kWhere T is the period,m is the massand k is the force constant.Doubling the amplitude of a simple harmonic oscillator does not affect its mass or force constant, and therefore, the period remains the same.The energy (E) of a simple harmonic oscillator is proportional to the square of its amplitude according to the equation:E=1/2 kA2Where E is the energyk is the force constantA is the amplitude.If the amplitude is doubled, the energy becomes four times its original value.
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
Which one of the following is a simple harmonic motion?
The frequency of second pendulum is:
a simple harmonic oscillator has period of 0.01 second and amplitude of 0.2 m. the magnitude of the velocity in m/s at the center of oscillation is
A particle performs simple harmonic motion of amplitude 0.020 m and frequency 2.5Hz. What is its max speed?
Two springs of spring constant k1 and K2 are joined in series. The effective spring constant of combination is given by:
The period of a pendulum is measured to be 3.0 s in the inertial frame of the pendulum. Find the period by an observer moving at 0.95 C with respect to the pendulum