Q.1 Q.2 Q.3 A rod of length L and radius R is made with an inhomogeneous dielectric and is cylindrical in shape. The rod is placed along the axis with one end at the origin. The polarization of the rod is P = (10² +8) Calculate the volume bound charge inside the dielectric. (a) 0 (b) 10πL R² (c) -10πLR² (d) -5πIR² A particle is moving under the central force f(r) = *. Calculate the value of a so that the orbit of the particle can be closed. (a) 2 and 5 (b) 1 and 3 (c) 0 and 4 (d) 3 and 6 Given the fermi energy and electron concentration 7.00 eV and 8.0×10% e/m³ respectively of a Copper of resistivity 1.7x10 2-m, calculate the mean free path. (a) 3780 nm (b) 5000 nm (c) 4100 nm (d) 7000 nm The Lagrangian of the system is L=m²-qq here is a constant. The Hamiltonian of the system is, (a) H = 2(m-λq) (b) H= 2(m-q) (c) H= (d) H= Q p² (m-λq) p² 2(m+Ag) Assume = Ee where =2(k cos + ik sino), k=1k, and x, y, and z are Cartesian unit vectors. Choose the correct statement. (a) Electric field's magnitude is attenuated with the propagation of wave. (b) The energy of the electromagnetic wave is flowing in the x direction. (c) Electric field's magnitude is constant. (d) Speed of wave is same as speed of light, that is, c.