NTA NET Electrical Engineering GATE 2019 Higher Questions and Answers Part 1

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  1. (Topic: Engineering Mathematics)

(Subtopic: Transform Theory)

(Sub-Subtopic: Laplace Transform)

The inverse Laplace transform of for is

(A)

(B)

(C)

(D)

  1. (Topic: Engineering Mathematics)

(Subtopic: Linear Algebra)

(Sub-Subtopic: Eigen values)

M is a 2x2 matrix with eigen values 4 and 9. The eigen values of are

(A) 4 and 9

(B) 2 and 3

(C) -2 and -3

(D) 16 and 81

  1. (Topic: Engineering Mathematics)

(Subtopic: Differential Equations)

(Sub-Subtopic: Partial differential equation)

The partial differential equation

is known as

(A) Heat equation

(B) Wave equation

(C) Poisson’s equation

(D) Laplace equation

  1. (Topic: Engineering Mathematics)

(Subtopic: Complex Variables)

(Sub-Subtopic: Analytic function)

Which one of the following functions is analytic in the region ?

(A)

(B)

(C)

(D)

  1. (Topic: Engineering Mathematics)

(Subtopic: Probability and Statistics)

(Sub-Subtopic: Mean and Variance)

The mean-square of a zero-mean random process is kT/C, where k is Boltzmann’s constant. T is the absolute temperature, and C is a capacitance. The standard deviation of the random process is

(A)

(B)

(C)

(D)

  1. (Topic: Electric Circuits)

(Subtopic: Passive filters)

(Sub-Subtopic: Identification of filters)

A system transfer function is . If , and all other coefficients are positive, the transfer function represents a

(A) band pass filter

(B) high pass filter

(C) low pass filter

(D) notch filter

  1. (Topic: Signals and Systems)

(Subtopic: Linear Time Invariant and Causal systems)

(Sub-Subtopic: Causal and Time invariant)

The symbols, a, and T represent positive quantities, and u(t) is the unit step function. Which one of the following impulse responses is NOT the output of a causal linear time-invariant system?

(A)

(B)

(C)

(D)

  1. (Topic: Electric Circuits)

(Subtopic: Sinusoidal steady‐state analysis)

(Sub-Subtopic: DC offset current)

DC offset current

DC Offset Current

  1. (Topic: Control Systems)

(Subtopic: Transient and Steady‐state analysis of linear time invariant systems)

(Sub-Subtopic: Final value theorem)

The output response of a system is denoted as y(t) and its Laplace transform is given by

The steady state value of y(t) is

(A)

(B)

(C)

(D)

  1. (Topic: Control Systems)

(Subtopic: Routh-Hurwitz and Nyquist criteria)

(Sub-Subtopic: Phase angle calculation)

The open loop transfer function of a unity feedback system is given by

In plane, the Nyquist plot of passes through the negative real axis at the point

(A)

(B)

(C)

(D)

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