Question

सरल आवर्तीय कम्पन के ऊर्जा स्तरों का वर्णन कीजिए।
Discuss Energy levels of simple Harmonic oscillation.
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Answer 1

Answer:

सरल आवर्त गति की विशेषताएं :

(i) उस पर कोई बल कार्य नहीं करता है.

(ii) उसका त्वरण शून्य होता है.

(iii) वेग अधिकतम होता है.

(iv) गतिज ऊर्जा अधिकतम होती है.

Energy in the simple harmonic oscillator is shared between elastic potential energy and kinetic energy,

Answer 2

Answer:

written below-

Explanation:

Remember that for a harmonic oscillator, solving the Schrödinger equation gives energy levels

Ev=(v+1/2)hn v=0, 1, 2….. (1)

This shows that an oscillator like this cannot be at rest - the minimum vibrational energy it can have is hn/2 - the zero-point energy.

The frequency, n, is related to the force constant, k, for the vibration:

(2)

The force constant, k, is given by the second derivative of the potential energy, which in one dimension is k=(d2V/dx2).

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