# Quantum Mechanics I (IFS (Forests Services) Physics (Mains)): Questions 1 - 3 of 3

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## Question number: 1

» Quantum Mechanics I » Uncertainty Principle

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Appeared in Year: 2011

Essay Question▾

### Describe in Detail

On the basis of uncertainty principle calculate the size of Hydrogen atom.

(Paper-2) (Section - A)

### Explanation

• From a hydrogen atom, it is not possible to predict exact the position of the electron or the momentum of the electron. Every time the electron is at somewhere but it has amplitude to in different places so there is a probability of it being found in different places.
• These places cannot all be at the nucleus; we shall suppose there is a spread

… (189 more words) …

## Question number: 2

» Quantum Mechanics I » Particle in a Finite Well, Linear, Harmonic Oscillator, Reflection

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Appeared in Year: 2011

Essay Question▾

### Describe in Detail

Solve the Schrodinger equation for a potential step function given by,

and calculate the reflection and transmission coefficients. Show that for there is a finite probability of finding the particle in a classically forbidden region.

### Explanation

• Consider . The time independent Schrodinger equation in one dimension is given as,

• And according to question, the potential step function is given as,

… (612 more words) …

## Question number: 3

» Quantum Mechanics I » Schroedinger Equation and Expectation Values

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Appeared in Year: 2011

Essay Question▾

### Describe in Detail

For a quantum mechanical system prove that all energy eigen – values are real and if , then the corresponding eigen functions are orthogonal.

### Explanation

• The eigenvalue equation, of the sets of energies and wave functions obtained by any quantum mechanics problems is given as,

For another value of the quantum number, we can write

• Multiply equation (1) by and the c

… (145 more words) …

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