When the displacement is half the amplitude the ratio of potential energy to the total energy is
Correct answer: D. 1/4
- A. 1/2
- B. 1
- C. 1/8
- D. 1/4
Explanation
For SHM potential energy U ∝ x². If x = A/2 then U = ½k(A/2)² = ¼·(½kA²). Total energy is ½kA², so U/E = (¼·½kA²)/(½kA²) = 1/4.
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
The equation of SHM for a particle is (a + 4π2x = 0) where 'a' is instantaneous linear acceleration at displacement x. The frequency of motion is:
A simple pendulum suspended from the ceiling of a train has a period 'T' when the train is at rest. When the train is accelerating with a uniform acceleration, the time period of simple pendulum will:
In which of the following scenarios will the K.E be zero?
While noting the time period of a simple pendulum, the amplitude of vibration should be kept:
The periodic time of a simple pendulum of length 1 m & amplitude 2 cm is 5 sec. If the amplitude is made 4 cm, its periodic time in sec is:
A 5 kg mass bounces in simple harmonic motion at the end of a spring. At which point is the acceleration of the mass the greatest?