September 2023

Q. Let M be a real 4×4 matrix. Consider the following statements: S1: M has 4 linearly independent eigenvectors. S2: M has 4 distinct eigenvalues. S3: M is non-singular (invertible). Which one among the following is TRUE? (A) S1 implies S2                                          (B) S1 implies S3 (C) S2 implies S1                                          (D) S3 implies S2 Ans: S2 […]

Q. The points P, Q, and R shown on the Smith chart (normalized impedance chart) in the following figure represent: A. P: Open Circuit, Q: Short Circuit, R: Matched Load B. P: Open Circuit, Q: Matched Load, R: Short Circuit C. P: Short Circuit, Q: Matched Load, R: Open Circuit D. P: Short Circuit, Q:

Q. A function 𝐹(𝐴, 𝐵, 𝐶) defined by three Boolean variables A, B and C when expressed as sum of products is given by 𝐹 = 𝐴̅ ⋅ 𝐵̅ ⋅ 𝐶̅ + 𝐴̅ ⋅ 𝐵 ⋅ 𝐶̅ + 𝐴 ⋅ 𝐵̅ ⋅ 𝐶̅ where, 𝐴̅, 𝐵̅, and 𝐶̅ are the complements of the respective variables.

Q. The logic function f (X , Y) realized by the given circuit is (A) NOR                      (B) AND                     (C) NAND                   (D) XOR Ans: XOR

Q. In a p-n junction diode at equilibrium, which one of the following statements is NOT TRUE? A. The hole and electron diffusion current components are in the same direction. B. The hole and electron drift current components are in the same direction. C. On an average, holes and electrons drift in opposite direction. D.

Q. Consider 𝑝(𝑠) = 𝑠3 + 𝑎2𝑠2 + 𝑎1𝑠 + 𝑎0 with all real coefficients. It is known that its derivative 𝑝′(𝑠) has no real roots. The number of real roots of 𝑝(𝑠) is (A) 0                          (B) 1                          (C) 2                          (D) 3 Ans: 1 Sol: Given p(s) = s3 + a2 s2 + a1s + a0

Q. The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability of feedback controllers. Identify which of the following statements is FALSE: A. Both the criteria provide information relative to the stable gain range of the system. B. The general shape of the Nyquist plot is readily obtained

Q. A good transimpedance amplifier has A. low input impedance and high output impedance. B. high input impedance and high output impedance. C. high input impedance and low output impedance. D. low input impedance and low output impedance. Ans: low input impedance and low output impedance.

Q. In the circuit shown below, the op-amp is ideal and Zener voltage of the diode is 2.5 volts. At the input, unit step voltage is applied, i.e. 𝑣𝐼𝑁(𝑡) = 𝑢(𝑡) volts. . Also, at 𝑡 = 0, the voltage across each of the capacitors is zero. The time 𝑡, in milliseconds, at which the

Q. A coastal region with unparalleled beauty is home to many species of animals. It is dotted with coral reefs and unspoilt white sandy beaches. It has remained inaccessible to tourists due to poor connectivity and lack of accommodation. A company has spotted the opportunity and is planning to develop a luxury resort with helicopter