Electrical Engineering GATE 2014 Set-2 Questions with Answer

Ques 40 General Aptitude

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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.

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Ques 41 Power Electronics

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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 ________.

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Ques 42 Power Systems

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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 ________.

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Ques 43 Power Systems

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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 ________.

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Ques 44 Power Systems

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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.

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Ques 45 Signals and Systems

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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)

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Ques 46 Signals and Systems

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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

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Ques 47 Signals and Systems

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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.

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