KARNATAKA STATE OPEN UNIVERSITY
Model Question Paper
PHYSICS:
MP 2.1- Classical Electrodynamics and Optics
Time: 3 Hours Max. Marks: 80
Instructions: Questions from 1 to 8 carry 15 marks each. Question No. 9 carries 20 marks
1. (a) Define electromagnetic potentials. Express Maxwell’s equations in terms of the
electromagnetic potentials. (10)
(b) Show that the gauge transforms
A’
and
‘
satisfy the Lorentz condition if and only
if the gauge functions satisfy the wave equation.
(5)
OR
2. (a) Obtain an expression for Lienard-Wiechert potentials of a moving point charge. (10)
(b) Show that under Lorentz gauge
E
and
B
also satisfy the wave equation.
(5)
3 .(a) Deduce the Abraham-Lorentz formula for radiation reaction and explain its
significance. (10)
(b) Show that the expression of power radiated by an oscillating electric dipole leads to
Larmor’s formula. (5)
OR
4 .(a) Derive expression for the power radiated by an oscillating electric dipole. (10)
(b) Write a note on Pinch effect. (5)
5. (a) Deduce an expression for Poynting vector and discuss the importance of Poynting
theorem. (10)
(b) Starting from Fresnel’s equations obtain Brewster’s law. (5)
OR
6 .(a) Obtain an expression for Clausius- Mossotti equation for electric fields in solids. (10)
(b) Write a note on retardation plates. (5)
7. (a) Give the theory of multiple reflections from a plane parallel film. (10)
(b) Note down the conditions for sustainable interference. (5)
OR
8. (a) Give a detailed description of diffraction at a circular aperture. (10)
(b) Discuss Fresnel’s diffraction in brief. (5)9. Answer any four of the following: ( 4X5=20)
(a) Obtain an expression for electric quadrupole moment.
(b) Show that when the velocity is zero, the Lienard-Wiechert potentials generate
electrostatic potential.
(c) Obtain an expression for power radiated by an accelerated charge when its
acceleration is collinear to its velocity (bremsstrahlung).
(d) Show that
E B
and
2 2 2 E c B are Lorentz invariant.
(e) Write a note on crystal polarizers.
(f) Obtain an expression for Alfven velocity of a plasma wave.
(g) Discuss in brief about spatial coherence.
(h) Discuss about resolving power of Fabry-Perot etalon.
Click here to download Question Paper
For more details click here or visit http://karnatakastateopenuniversity.in
Model Question Paper
PHYSICS:
MP 2.1- Classical Electrodynamics and Optics
Time: 3 Hours Max. Marks: 80
Instructions: Questions from 1 to 8 carry 15 marks each. Question No. 9 carries 20 marks
1. (a) Define electromagnetic potentials. Express Maxwell’s equations in terms of the
electromagnetic potentials. (10)
(b) Show that the gauge transforms
A’
and
‘
satisfy the Lorentz condition if and only
if the gauge functions satisfy the wave equation.
(5)
OR
2. (a) Obtain an expression for Lienard-Wiechert potentials of a moving point charge. (10)
(b) Show that under Lorentz gauge
E
and
B
also satisfy the wave equation.
(5)
3 .(a) Deduce the Abraham-Lorentz formula for radiation reaction and explain its
significance. (10)
(b) Show that the expression of power radiated by an oscillating electric dipole leads to
Larmor’s formula. (5)
OR
4 .(a) Derive expression for the power radiated by an oscillating electric dipole. (10)
(b) Write a note on Pinch effect. (5)
5. (a) Deduce an expression for Poynting vector and discuss the importance of Poynting
theorem. (10)
(b) Starting from Fresnel’s equations obtain Brewster’s law. (5)
OR
6 .(a) Obtain an expression for Clausius- Mossotti equation for electric fields in solids. (10)
(b) Write a note on retardation plates. (5)
7. (a) Give the theory of multiple reflections from a plane parallel film. (10)
(b) Note down the conditions for sustainable interference. (5)
OR
8. (a) Give a detailed description of diffraction at a circular aperture. (10)
(b) Discuss Fresnel’s diffraction in brief. (5)9. Answer any four of the following: ( 4X5=20)
(a) Obtain an expression for electric quadrupole moment.
(b) Show that when the velocity is zero, the Lienard-Wiechert potentials generate
electrostatic potential.
(c) Obtain an expression for power radiated by an accelerated charge when its
acceleration is collinear to its velocity (bremsstrahlung).
(d) Show that
E B
and
2 2 2 E c B are Lorentz invariant.
(e) Write a note on crystal polarizers.
(f) Obtain an expression for Alfven velocity of a plasma wave.
(g) Discuss in brief about spatial coherence.
(h) Discuss about resolving power of Fabry-Perot etalon.
Click here to download Question Paper
For more details click here or visit http://karnatakastateopenuniversity.in