Classical Mechanics-Small Oscillations and Normal Modes [JEST National Eligibility Test (NET) (Research) Physics]: Questions 1 - 1 of 1

Access detailed explanations (illustrated with images and videos) to 4 questions. Access all new questions- tracking exam pattern and syllabus. View the complete topic-wise distribution of questions. 3 Year Validity- Access Unlimited Times on Unlimited Devices.

View Sample Explanation or View Features.

Rs. 100.00 -OR-

How to register? Already Subscribed?

Question 1

Classical Mechanics Small Oscillations and Normal Modes

Describe in Detail Essay▾

Use WKB method to estimate the energy levels of a one-dimensional harmonic oscillator.

Edit

Explanation

The classical energy of a harmonic oscillator

Now,

At turning points, and the energy is given by

On putting the value of x then,

We know Bohr-Sommerfeld quantization rule,

Here

Let,

We have,

Since,

Therefore,

Hence,

This is Harmonic Equation.