Electrical Engineering Gate 2014 Set-3 Questions with Answer

Ques 40 GATE 2014 SET-3

In 8085A microprocessor, the operation performed by the instruction LHLD 2100_H is

(H)←21_H, (L)←00_H

(H)←M(2100_H), (L)←M(2101_H)

(H)←M(2101_H), (L)←M(2100_H)

(H)←00_H, (L)←21_H

Ques 41 GATE 2014 SET-3

In a long transmission line with r, l, g and c are the resistance, inductance, shunt conductance and capacitance per unit length, respectively, the condition for distortionless transmission is

rc = lg

r = √(l/c)

rg = lc

g = √(c/l)

(a) is the correct answer.

Ques 42 GATE 2014 SET-3

For a fully transposed transmission line

positive, negative and zero sequence impedances are equal

positive and negative sequence impedances are equal

zero and positive sequence impedances are equal

negative and zero sequence impedances are equal

(b) is the correct answer.

Ques 43 GATE 2014 SET-3

A 183-bus power system has 150 PQ buses and 32 PV buses. In the general case, to obtain the load flow solution using Newton-Raphson method in polar coordinates, the minimum number of simultaneous equations to be solved is ________.

(332) is the correct answer.

Ques 44 GATE 2014 SET-3

The load shown in the figure absorbs 4 kW at a power factor of 0.89 lagging.

Assuming the transformer to be ideal, the value of the reactance X to improve the input power factor to unity is ________.

(23 to 24) is the correct answer.

Ques 45 GATE 2014 SET-3

For a 400 km long transmission line, the series impedance is (0.0+j0.5) Ω/km and the shunt admittance is (0.0+j5.0)μmho/km. The magnitude of the series impedance (in Ω) of the equivalent π circuit of the transmission line is ________.

(186 to 188) is the correct answer.

Ques 46 GATE 2014 SET-3

The odd function f(t) is shown in the figure.<

The Fourier transform F(ω) of f(t) is

real and even function of ω.

real and odd function of ω.

imaginary and odd function of ω.

imaginary and even function of ω.

Ques 47 GATE 2014 SET-3

A signal is represented by

The Fourier transform of the convolved signal y(t)=x(2t)*x(t/2) is

(4/ω²)sin(ω/2)sin(2ω)

(4/ω²)sin(ω/2)

(4/ω²)sin(2ω)

(4/ω²)sin²ω

(a) is the correct answer.

Ques 48 GATE 2014 SET-3

For the signal f(t)=3 sin 8πt+6 sin 12πt+sin 14πt, the minimum sampling frequency (in Hz) satisfying the Nyquist criterion is ________.

(14) is the correct answer.

Ques 49 GATE 2014 SET-3

A continuous-time LTI system with system function H(ω) has the following pole-zero plot. For this system, which of the alternatives is TRUE?

|H(0)| < |H(ω)|; |ω| > 0

|H(ω)| has multiple maxima, at ω₁ and ω₂

|H(ω)| is a monotonically increasing function of ω

|H(ω)| = constant; -∞ < ω < ∞

(d) is the correct answer.

Ques 50 GATE 2014 SET-3

A sinusoid x(t) of unknown frequency is sampled by an impulse train of period 20 ms. The resulting sample train is next applied to an ideal lowpass filter with a cutoff at 25 Hz. The filter output is seen to be a sinusoid of frequency 20 Hz. This means that x(t) has a frequency of

10 Hz

60 Hz

30 Hz

90 Hz

Ques 51 GATE 2014 SET-3

A differentiable non constant even function x(t) has a derivative y(t) and their respective Fourier Transforms are X(ω) and Y(ω). Which of the following statements is TRUE?

X(ω) and Y(ω) are both real.

X(ω) is real and Y(ω) is imaginary.

X(ω) and Y(ω) are both imaginary.

X(ω) is imaginary and Y(ω) is real.

(b) is the correct answer.

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