Navigate

The potential energy of a simple harmonic oscillator when the particle is half way

The potential energy of a simple harmonic oscillator when the particle is half way to its end point is (where E is the total energy)

Options

(a) E/8
(b) E/4
(c) E/2
(d) 2E/3

Correct Answer:

E/4

Explanation:

P.E. = (1/2) mω²y² ⇒ At y = a/2 ⇒ (1/2) (mω²a²/4)
Total energy (E) = P.E. at extreme position = (1/2) mω²a²
P.E. = (1/4).[(1/2) mω²a²] = E/4

AIPMT2003
admin:

Related Questions

  1. The horizontal range and maximum height attained by a projectile are R and H,respectively
  2. A uniform electric field and uniform magnetic field are acting along the same
  3. A uniform force of (3i+j) Nacts on a particle of mass 2 kg.Hence the particle is displaced
  4. A nucleus disintegrates into two nuclear parts which have their velocities in the ratio
  5. The upper half of an inclined plane of inclination θ is perfectly smooth while lower