Section A
Q1.
(a) Using suitable sketch, draw the elements of geomagnetic fields. Also show the relation between different components of earth's magnetic fields.
(b) Define Bulk modulus K for isotropic solid. Derive the expression of computing Poisson's ratio σ using body waves velocity Vp and Vs. Give the relationship between Vp and Vs for Poisson solid. What is the dimension of Poisson ratio ? Compute (Vp)/(Vs) for a rock with Poisson's ratio of 0.
(c) Using a suitable sketch show the relation between electric and magnetic fields. Derive electromagnetic equations for propagation of electric and magnetic field vectors in an isotropic homogeneous medium having conductivity σ, relative permeability μ, and relative - dielectric permittivity \epsilon.
(d) What do you understand by eigenvalues and eigenvectors? Determine the eigenvectors of the matrix A = \beginbmatrix 2 & 1 & 0 \\ 0 & 2 & 1 \\ 0 & 0 & 2 \endbmatrix