Q. Let  𝑓1(𝑧) = 𝑧2    and  𝑓2(𝑧) = 𝑧̅ be two complex variable functions. Here 𝑧̅   is the complex conjugate of z. Choose the correct answer. A. Both 𝑓1(𝑧) and 𝑓2(𝑧) are analytic B. Only 𝑓1(𝑧) is analytic C. Only 𝑓2(𝑧) is analytic D. Both 𝑓1(𝑧) and 𝑓2(𝑧) are not analytic Ans: Only 𝑓1(𝑧) is […]

Q. Let 𝑁 be a 3 by 3 matrix with real number entries. The matrix 𝑁 is such that 𝑁2 = 0. The eigen values of N are (A) 0, 0, 0                   (B) 0,0,1                     (C) 0,1,1                    (D) 1,1,1 Ans: 0, 0, 0  

Q. Using the Gutenberg-Richter recurrence relationship, the mean annual rate of exceedance of earthquake occurrence in a seismic belt is 0.3 per year for an earthquake of magnitude 6.0. The return period for an earthquake of magnitude 6.0 in this belt is_____years. Ans: 3.0-3.5

Q. The angle of inclination of the remanent magnetization measured on a basalt flow at a location P (28°N 85°E) is 40°. The palaeomagnetic latitude of the basalt flow is________________°N. Ans: 22.5-23.0

Q. Which one of the following well log responses characterizes an overpressured zone in the subsurface? A. High velocity and high resistivity. B. Low velocity and low density. C. High velocity and low resistivity. D. Low velocity and high density. Ans: Low velocity and low density.

Q. Assertion (a): The Static Self-Potential for a thick, clean freshwater bearing sandstone formation is positive. Reason(r): Resistivity of the formation water is less than the resistivity of salt water mud- filtrate. A. Both (a) and (r) are true and (r) is the correct reason for (a). B. Both (a) and (r) are true and

Q. The frequencies of the primary magnetic field generated by worldwide thunderstorm activity vary in the range (A) 10-6 Hz -10-3 Hz                                             (B) 10-3 Hz -1 Hz (C) 1 Hz -103 Hz                                           (D) 103 Hz -106 Hz Ans: 1 Hz -103 Hz

Q. The effect of small scale near surface inhomogeneities can be removed from magnetic data by A. upward continuation. B. downward continuation. C. second vertical derivative. D. reduction to pole. Ans: upward continuation.

Q. Dip angle electromagnetic response measured along a profile over multiple conductors is shown in the figure below. Which of the crossover points P, Q and R represent the CORRECT locations of conductors beneath them? A. P, Q and R B. Q and R C. P and R D. P and Q Ans: P and

Q. Multi-electrode resistivity survey is carried out by placing 10 equispaced electrodes (denoted by arrows in the figure below) on the surface of the earth. The points of observations in the distance-apparent depth plane are marked as solid dots in the figure shown below. Considering the mid-point of the 4-electrode array as the point of