11. Explain coherence length and coherence time. Derive a relation between line width and coherence time and explain the result.
12. Derive the intensity distribution formula for the single slit Fraunhofer diffraction pattern.
13. Show the conditions of maxima and minima. Plot the interference pattern.
14. Calculate the diffraction angle corresponding to the first two minima for a plane wave with wavelength (λ = 5×10−6 cm) falls on a narrow slit of width 2×10−32 cm.
15. Explain briefly the concept of Gradient, Divergence, and Curl of a vector field.
16. Explain Gauss’s law of electrostatics. How is this law modified for dielectric material ?
17. Starting from Bio-Savart law, derive Ampere’s law and prove ∇⋅B=0.
18. Write down the differential and integral form of Maxwell’s equations.
19. Discuss Maxwell’s correction of Ampere’s law. How are Maxwell’s equations inconsistent without that correction ?
20. From Maxwell’s equation, prove that light is an electromagnetic wave.