Solve your IGNOU Doubts

Question:

the spectral line width in Hertz, and

See Answer →

Question:

the coherence length,

See Answer →

Question:

A mercury vapour lamp emits light of mean wavelength $\lambda = 5461 \text{\AA}$ with a spectral spread $\Delta \lambda = 0.012 \text{\AA}$ . Calculate

See Answer →

Question:

List the components of a laser and discuss each of them briefly.

See Answer →

Question:

On the basis of Fresnel diffraction integral, discuss the conditions which differentiate between Fresnel and Fraunhofer diffraction.

See Answer →

Question:

Write the laser rate equation for a two level system and hence prove that the steady state population inversion cannot be achieved in a two level system.

See Answer →

Question:

Using the scalar theory of diffraction, obtain the expression for Fresnel diffraction integral.

See Answer →

Question:

Determine the collisional width for $\text{He-Ne}$ laser operating at a gas pressure of $1\text{ torr}$ and gas temperature of $450\text{ K}$ . Obtain the ratio of spontaneous and stimulated emission if the wavelength is $632.8\text{ nm}$ .

See Answer →

Question:

What is Jones vector? Determine the Jones matrix for a linear polariser which makes an angle of $60^\circ$ with the x-axis.

See Answer →

Question:

Derive the wave equation for the electric field $\vec{E}$ in anisotropic non-conducting medium starting from Maxwell's equations.

See Answer →

Question:

Differentiate between isotropic and anisotropic media for electromagnetic wave propagation. Give one example of each.

See Answer →

Question:

Use the LU decomposition method to solve the following system of equations:

$$2x_1 + x_2 - x_3 = 2;$

$$x_1 + 2x_2 + x_3 = 8;$

$$-x_1 + x_2 - x_3 = -5.$

See Answer →

Question:

What would be the maximum possible period of this random number sequence?

See Answer →

Question:

Using the linear congruential random number generator determine the first five random numbers given that: $x_0 = 27$ , $a = 17$ , $c = 43$ , and $m = 100$ . Transform these random numbers to lie between 0 and

See Answer →

Question:

Derive the Runge-Kutta 2nd Order formula for the differential equation

$$\frac{dy}{dx} + y = \exp(-x)$
Use this to determine the value of y at $x = 2$ given that $y(x = 0) = 2$ , using a step size $h = 1.0$ .

See Answer →

Question:

Derive the Runge-Kutta 2nd Order formula for the differential equation

See Answer →

Question:

The spacing between $S\text{-branch}$ of $\text{N}_2$ molecule in Raman spectrum is $8\text{ cm}^{-1}$ . Calculate the bond length of the molecule.

See Answer →

Question:

Evaluate the integral $\int_{1}^{2} x^3 \ln x \, dx$ using the 2-point Gaussian Quadrature Rule with the following values:

Points	Weights `(C_i)`	Arguments `(x_i`)
1	1.0	0.577
2	1.0	`−0.577`

See Answer →

Question:

i) The fundamental vibrational frequency of a molecule occurs at $1730\text{ cm}^{-1}$ . Determine the position of Raman line if the molecule is excited with a laser of wavelength $514.5\text{ nm}$ .

See Answer →

Question:

Calculate the first derivative of the function $f(x) = \sin(2x)$ at $x = \pi/3$ using the forward divided difference, backward divided difference and central divided difference methods with a step size of $h = 0.1$ rad. Also calculate the absolute true error in each case.