# Optionals IAS Mains Physics: Questions 60 - 65 of 307

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## Question 60

Appeared in Year: *1999*

### Describe in Detail

Essay▾What are the essential conditions for observing the interference of light? Two coherent sources with intensity ratio interfere. Find (20 Marks)

### Explanation

It is not always necessary that two superimposing light waves always interfere and result in the redistribution of energy (fringes) . Only where these superimposing waves satisfy certain conditions the fringe pattern is observed on screen. These conditions are as follows:

- The phase difference between the two waves should not change with time. If the…

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## Question 61

Appeared in Year: *2003*

### Write in Short

Short Answer▾Show that the radial probability density of the ground state of the hydrogen atom how a maximum at . The ground state wave function of the hydrogen atom is given by Where a is the Bohr Radius (10 Marks)

## Question 62

Appeared in Year: *2015*

### Describe in Detail

Essay▾Define coefficient of viscosity and kinematic viscosity of a fade. What are poise and stokes? (10 Marks)

### Explanation

- If F is the external force applied to plate P to maintain a laminar streamline flow of the liquid and v, the velocity of the uppermost layer, distant z from the lowermost or stationary layer, we have tangential or shearing stress applied = where A is the surface area of the layer.
- Newton found that the shear strain is a function of the shearing st…

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## Question 63

Appeared in Year: *1999*

### Describe in Detail

Essay▾What is Compton Effect and Compton wave length? Determine Compton shift. Show that maximum Compton shift is twice the Compton wave length. (40 Marks)

### Explanation

- The Compton Effect experiment gives direct evidence that electromagnetic radiations consist of photons, which colliding with electrons, for example, like one billiard ball colliding with other billiard ball. In figure 1, we show, schematically, the experimental arrangement of Compton Effect. An X-ray bean of known single wavelength from source S fa…

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## Question 64

Appeared in Year: *2007*

### Describe in Detail

Essay▾A one-dimensional potential barrier is represented by the function

Where is positive find the transmission coefficient of particles of mass incident from the left of barrier. (20 Marks)

### Explanation

By solving Schrodinger equation for the given potential, we wish to obtain for all . Let as divide the axis into two domains: region and region as shown in figure 1. The Schrodinger equation shall be solved for two cases .

**Case I: -**

For the two regions , the Schrodinger equation becomes

… eq. (1)

… eq. (2)

- E…

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## Question 65

Appeared in Year: *2015*

### Describe in Detail

Essay▾Write down precisely the conservation theorems for energy, linear momentum and angular momentum of a particle with their mathematical forms. (15 Marks)

### Explanation

- Conservation of linear momentum: - It follows from Newton՚s second law of motion in the from
- That is, if the total force F is zero then and the linear momentum is conserved. Obviously the conservation law is the result of the first integral of equation of motion. Conservation laws are thus also called the first integrals of equations of motion.
- Con…

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