Magnetic shell, uniformly magnetized sphere; Ferromagnetic materials, hysteresis, energy loss. Biot-Savart law, Ampere’s law, Questions: Q 1. State Biot-Savart law. Calculate the magnitude of axial magnetic induction due to a circular loop of area A carrying current I. [15 marks] Q 2. A uniformly magnetised sphere of radius RRR has magnetization M⃗=M0z^\vec M=M_0\hat zM=M0​z^. If […]
DAY 4 – DAW February Read More »
 Dielectrics, polarization; Solutions to boundary-value problems-conducting and dielectric spheres in a uniform electric field; Questions: Q 1. A region 1, z<0z<0z<0, has a dielectric material with ϵr=3.2\epsilon_r=3.2ϵr​=3.2 and a region 2, z>0z>0z>0 has a dielectric material with ϵr=2.0\epsilon_r=2.0ϵr​=2.0. Let the displacement vector in the region 1 be, D⃗1=−30ax+50ay+70aznCm−2\vec D_1 = -30a_x+50a_y+70a_z nCm^{-2}D1​=−30ax​+50ay​+70az​nCm−2. Assume the interface
DAY 3 – DAW February Read More »
Method of images and its applications; Potential and field due to a dipole, force and torque on a dipole in an external field; Questions: Q 1. A vertical oriented electric dipole having dipole moment p⃗\vec pp​ is kept at a height hhh above an infinitely large horizontal conducting plate, which is grounded as shown in
DAY 2 – DAW February Read More »
Laplace and Poisson equations in electrostatics and their applications; Energy of a system of charges, multiple expansion of scalar potential Questions: Q 1. Starting from the Laplace’s equation in a cylindrical polar coordinate system and using the method of separation of variables , obtain the differential equations for the solution of r, θ\thetaθ and z
DAY 1 – DAW February Read More »
Lasers-Einstein A and B coefficients;Ruby and He-Ne lasers; Characteristics of laser light-spatial and temporal coherence; Focusing of laser beams; Three-level scheme for laser operation; Holography and simple applications. Questions: Q 1. In He-Ne laser, what is the function of He gas? Explain the answer with the help of energy level diagram for He-Ne laser ?
DAY 20 – DAW January Read More »
Production and detection of linearly and circularly polarized light; Double refraction, quarter wave plate; Optical activity; Principles of fibre optics, attenuation; Pulse dispersion in step index and parabolic index fibres; Material dispersion, single mode fibres; Questions: Q 1. For a multimode step-index optical fibre, the core refractive index is 1.5 and the fractional index difference
DAY 19 – DAW January Read More »
Fresnel diffraction: half-period zones and zone plates, circular aperture. Questions: Q 1. Show that the areas of all the half-period zones are nearly the same. Find the radius of 1st half-period zone in a zone plate whose focal length is 50 cm and the wavelength of the incident light is 500 nm. [15 marks] Q
DAY 18 – DAW January Read More »
Fraunhofer diffraction-single slit, double slit, diffraction grating, resolving power; Diffraction by a circular aperture and the Airy pattern; Questions: Q 1. Can D1 and D2 lines of sodium light be resolved in second-order spectrum if the number of lines in the given grating is 450? Explain. λD1=5890A0\lambda_{D1}=5890 A^0λD1​=5890A0 and λD1=5890A0\lambda_{D1}=5890 A^0λD1​=5890A0. [10 marks] Q
DAY 17 – DAW January Read More »
Michelson interferometer; Multiple beam interference and Fabry-Perot interferometer. Questions: Q 1. Describe how Michelson Interferometer can be used to determine refractive index of a gas. In a Michelson Interference experiment, a tube of length 25 cm containing a gas of refractive index μ\muμ is introduced between the upper mirror and the beam splitter. 150 fringes
DAY 16 – DAW January Read More »
Interference of light-Young’s experiment, Newton’s rings, interference by thin films, Questions: Q 1. What are Newton’s rings? How are they formed by two curved surfaces ? [10 marks] Q 2. A soap-film of refractive index 1.33 is illuminated with light of different wavelengths at an angle of 45°45\degree45°. There is complete destructive interference for λ\lambdaλ
DAY 15 – DAW January Read More »
