Electrical Engineering Gate 2014 Set-2 Questions with Answer

Ques 40 GATE 2014 SET-2


At what time between 6 a.m. and 7 a.m. will the minute hand and hour hand of a clock make an angle closest to 60°?

A

6:22 a.m.

B

6:27 a.m.

C

6:38 a.m.

D

6:45 a.m.


(a) is the correct answer.

Ques 41 GATE 2014 SET-2


A step-up chopper is used to feed a load at 400 V dc from a 250 V dc source. The inductor current is continuous. If the ‘off’ time of the switch is 20μs, the switching frequency of the chopper in kHz is ________.


(31.25) is the correct answer.

Ques 42 GATE 2014 SET-2


A single phase induction motor draws 12 MW power at 0.6 lagging power factor. A capacitor is connected in parallel to the motor to improve the power factor of the combination of motor and capacitor to 0.8 lagging. Assuming that the real and reactive power drawn by the motor remains same as before, the reactive power delivered by the capacitor in MVAR is ________.


(7) is the correct answer.

Ques 43 GATE 2014 SET-2


A three phase star-connected load is drawing power at a voltage of 0.9 pu and 0.8 power factor lagging. The three phase base power and base current are 100 MVA and 437.38 A respectively. The line-to-line load voltage in kV is ________.


(118.8) is the correct answer.

Ques 44 GATE 2014 SET-2


Shunt reactors are sometimes used in high voltage transmission systems to

A

limit the short circuit current through the line.

B

compensate for the series reactance of the line under heavily loaded condition.

C

limit over-voltages at the load side under lightly loaded condition.

D

compensate for the voltage drop in the line under heavily loaded condition.


(c) is the correct answer.

Ques 45 GATE 2014 SET-2


Consider an LTI system with impulse response h(t) = e-5tu(t). If the output of the system is y(t) = e-3tu(t) - e-5tu(t), then the input, x(t) is given by

A

e-3tu(t)

B

2e-3tu(t)

C

e-5tu(t)

D

2e-5tu(t)


(b) is the correct answer.

Ques 46 GATE 2014 SET-2


An input signal x(t) = 2 + 5sin(100πt) is sampled with a sampling frequency of 400 Hz and applied to the system whose transfer function is represented by

where, N represents the number of samples per cycle. The output y(n) of the system under steady state is

A

0

B

1

C

2

D

5


(c) is the correct answer.

Ques 47 GATE 2014 SET-2


A 10 kHz even-symmetric square wave is passed through a bandpass filter with centre frequency at 30 kHz and 3 dB passband of 6 kHz. The filter output is

A

a highly attenuated sine wave.

B

nearly zero.

C

a nearly perfect cosine wave at 30 kHz.

D

a nearly perfect sine wave at 30 kHz.


(b) is the correct answer.

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