Q. The input 𝑥 and output 𝑦 of a discrete-time system are related as 𝑦 = 𝛼𝑦 + 𝑥. The condition on 𝛼 for which the system is Bounded-Input Bounded-Output (BIBO) stable is (A) |𝛼| < 1 (B) |𝛼| = 1 (C) |𝛼| > 1 (D) |𝛼| < 3/2 Ans: |𝛼| < 1 Sol: y = α y + x The given ...

Q. In the Figures (a) and (b) shown below, the transformers are identical and ideal, except that the transformer in Figure (b) is centre-tapped. Assuming ideal diodes, the ratio of the root- mean-square (RMS) voltage across the resistor 𝑅 in Figure (a) to that in Figure (b) is (A) √2:1 ...

Q. A box has 8 red balls and 8 green balls. Two balls are drawn randomly in succession from the box without replacement. The probability that the first ball drawn is red and the second ball drawn is green is Sol: A box has 8 red balls and 8 green balls. Two balls are drawn randomly in ...

Q. In an electromagnetic scale modeling experiment in the lab, the relation between the field and lab geometrical scaling factor (n) with the field and lab resistivity (𝜌𝑓 & 𝜌𝑚) as well as frequencies (𝑓𝑓 & 𝑓𝑚) will be Ans: Option A

Q. The phase difference between the input and output signals for a ‘Compensator device’ used in electromagnetic prospecting to nullify the effect of primary field at the receiver coil is (A) 0°(B) 45°(C) 90°(D) 180°Ans: 180°

Q. Which one of the following statements is INCORRECT with regard to Nuclear Magnetic Resonance (NMR) logging? (ΦNMR - NMR derived total porosity, ΦD - Density porosity) (A)The relaxation time (T2) decreases with decrease in pore size. (B)The ΦNMR is greater than ΦD in a water saturated ...

Q. Which one of the following is CORRECT for the density porosity (fD) and neutron porosity (fN) estimated for a finely interbedded organic-rich, shaly sandstone formation relative to those for a shale-free sandstone formation at shallow depths? (A) ΦN decreases and ΦD increases. (B) ΦN ...

Q. Match the economic deposits in Group I with their occurrence in stratigraphic units in Group II Group IGroup IIP. Phosphate1. Sargur GroupQ. Manganese2. Nallamalai GroupR. Chromite3. Udaipur FormationS. Barite4. Mansar Formation(A) P-1, Q-3, R-4, S-2                                   (B) ...

Q. Which one of the following statements is CORRECT about bivalve habitat? (A) Gryphaea is a burrowing variety. (B) Pholas is a free lying form. (C) Lucina is a boring variety. (D) Mytilus is a bysally attached form. Ans: Mytilus is a bysally attached form.

Q. Which one of the following stratigraphic units represents the CORRECT order of younging? (A) Trichinopally Group - Uttatur Group - Ariyalur Group - Niniyur Group (B) Kopili Formation - Sylhet Formation - Barail Formation - Boka Bil Formation (C) Chinji Formation - Nagri Formation - ...

Q. In metamafites, which one of the following mineral assemblages is stable under green schist facies conditions? (A) Albite + Chlorite + Actinolite + Epidote (B) Andesine + Biotite + Hornblende (C) Oligoclase + Biotite + Hornblende (D) Oligoclase + Epidote + Biotite + Hornblende ...

Q. Which one of the following set of statements regarding the overall nature of marine shelf succession is CORRECT? Statement I: Transgressive systems tract deposit is deepening upward Statement II: Highstand systems tract deposit is deepening upward Statement III: Falling stage systems ...