GATE PAPEREEE
No. Question
1 For the scalar field u =
x2
2
+
y2
3
, magnitude of the gradient at the point (1,3) is
Options
A)
Ö 13/9
B)
Ö 9/2
C)
Ö 5
D)
9
2
Your Answer (Not Answered)
Correct Answer C
2 A digitaltoanalog converter with a fullscale output voltage of 3.5 V has a resolution close to 14m V. Its bit size is
Options
A) 4 B) 8
C) 16 D) 32
Your Answer (Not Answered)
Correct Answer B
3
A singlephase halfcontrolled rectifier is driving a separately excited dc motor. The dc motor has a back emf constant of 0.5 V/rpm. The armature current is 5 A without any ripple. The armature resistance is 2W. The converter is working from a 280 V, single phase ac source with a firing angle of 80°. Under this operating condition, the speed of the motor will be
Options
A) 339 rpm B) 359 rpm
C) 366 rpm D) 386 rpm
Your Answer (Not Answered)
Correct Answer C
4
In relation to the synchronous machines, which one of the following statements is false?
Options
A) In salient pole machines, the directaxis synchronous reactance is greater than the quadratureaxis synchronous reactance B) The damper bars help the synchronous motor self start
C) Short circuit ratio is the ratio of the field current required to produce the rated voltage on open circuit to the rated armature current
D) The Vcurve of a synchronous motor represents the variation in the armature current with field excitation, at a given output power
Your Answer (Not Answered)
Correct Answer C
5 The 8085 assembly language instruction that stores the content of H and L registers into the memory locations 2050H and 2051H, respectively, is
Options
A) SPHL 2050H B) SPHL2051H
C) SHLD 2050H D) STAX 2050H
Your Answer (Not Answered)
Correct Answer C
6 If
E
is the electric field intensity, Ñ(Ñ x
E
) is equal to
Options
A)
E
B) 
E

C) null vector D) zero
Your Answer (Not Answered)
Correct Answer D
7 For the function f(x) = x2 ex, the maximum occurs when x is equal to
Options
A) 2 B) 1
C) 0 D) 1
Your Answer (Not Answered)
Correct Answer B
8
Two wattmeters, which are connected to measure the total power on a three phase system supplying a balanced load, read 10.5 kW and – 2.5 kW, respectively. The total powere and the power factor, respectively, are
Options
A) 13.0 kW, 0.334 B) 13.0 kW, 0.684
C) 8.0 kW, 0.52 D) 8.0 kW, 0.334
Your Answer (Not Answered)
Correct Answer D
9 The insulation strength of an EHV transmission line is mainly governed by
Options
A) load power factor B) switching overvoltages
C) harmonics D) corona
Your Answer (Not Answered)
Correct Answer B
10 For the equation,
s3 – 4s2+ s + 6 = 0
the number of roots in the left half of splane will be
Options
A) zero B) one
C) two D) three
Your Answer (Not Answered)
Correct Answer C
11 A dc potentiometer is designed to measure up to about 2 V with a slide wire of 800 mm. A standard cell of emf 1.18 V obtains balance at 600 mm. A test cell is seen to obtain balance at 680 mm. The emf of the test cell is
Options
A) 1.00V B) 1.34V
C) 1.50V D) 1.70V
Your Answer (Not Answered)
Correct Answer B
12 High Voltage DC (HVDC) transmission is mainly used for
Options
A) bulk power transmission over very long distances
B) interconnecting two systems with the same nominal frequency
C) eliminating reactive power requirement in the operation D) minimizing harmonics at the converter stations
Your Answer (Not Answered)
Correct Answer A
13 A bipolar junction transistor (BJT) is used as a power control switch by biasing it in the cutoff region (OFF state) or in the saturation region (ON state). In the ON state, for the BJT
Options
A) both the baseemitter and basecollector junctions are reverse biased B) the baseemitter junction is reverse biased, and the basecollector junction is forward biased
C)
the baseemitter junction is forward biased, and the basecollector junction is reverse biased
D) both the baseemitter and basecollector junctions are forward biased
Your Answer (Not Answered)
Correct Answer D
14 The Q – meter works on the principle of
Options
A) mutual inductance B) self inductance
C) series resonance D) parallel resonance
Your Answer (Not Answered)
Correct Answer C
15 A 800 kV transmission line is having per phase line inductance of 1.1 mH/km and per phase line capacitance of 11.68 nF/km. Ignoring the length of the line, its ideal power transfer capability in MW is
Options
A) 1204 MW B) 1504 MW
C) 2085 MW D) 2606 MW
Your Answer (Not Answered)
Correct Answer C
16
If the following program is executed in a icroprocessor, the number of instruction cycles it will take from START to HALT is
START MVI A, 14H ; Move 14H to register A
SHIFT RLC ; Rotate left without carry
JNZ SHIFT ; Jump on nonzero to SHIFT
HALT
Options
A) 4 B) 8
C) 13 D) 16
Your Answer (Not Answered)
Correct Answer C
17 A moving iron ammeter produces a full scale torque of 240 mNm with a deflection of 120° at a current of 10 A. The rate of change of self inductance (mH/radian) of the instrument at full scale is
Options
A) 2.0 mH/radian B) 4.8 mH/radian
C) 12.0 mH/radian D) 114.6 mH/radian
Your Answer (Not Answered)
Correct Answer B
18 At an industrial substation with a 4 MW load, a capacitor of 2 MVAR is installed to maintain the load power factor at 0.97 lagging. If the capacitor goes out of serivce, the load power factor becomes
Options
A) 0.85 B) 1.00
C) 0.80 lag D) 0.90 lag
Your Answer (Not Answered)
Correct Answer C
19 The conduction loss versus device current characteristic of a power MOSFET is best approximated by
Options
A) a parabola
B) a straight line
C) a rectangular hyperbola
D) an exponentially decaying function
Your Answer (Not Answered)
Correct Answer A
20 If P and Q are two random events, then the following is TRUE
Options
A) Independence of P and Q implies that probability (P Q ) = 0
B) Probability (P Q ) Probability (P) + Probability (Q)
C) If P and Q are mutually exclusive, then they must be independent
D) Probability (P Q ) Probability (P)
Your Answer (Not Answered)
Correct Answer D
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