Section A
Q1.
(a) An earthquake causes an average of 2.5 m strike-slip displacement over an 80 km long, 23 km deep portion of a transform fault. Assuming that the rock along the fault has an average rupture strength of 175 kPa, estimate the seismic moment (M0) and moment magnitude (Mw) of the earthquake.
(b) Derive the expression for electric potential due to a point current source placed on the surface of a homogeneous medium. Explain with a neat sketch of current flow and equipotential lines.
(c) Explain different sources of heat on the Earth's surface. Show the variation of heat flow with depth within the internal structure of the Earth.
(d) Define Singular Value Decomposition (SVD). Verify the SVD problem for the given rectangular matrix : A = \beginbmatrix 1 & 1 & 0 \\ 0 & 0 & 1 \endbmatrix.