ISRO Electrical Engineering (EE) 2019 Question Paper & Solutions
Attempt the ISRO Electrical Engineering (EE) 2019 previous year paper in real CBT exam mode or practice mode. Answers will be added when the official answer key is published on CMB HUB.
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80 questions. The official answer key for this paper has not been published on CMB HUB yet, so the questions are shown without answers.
Question 1
Consider the shaded triangle region P shown in the figure what is the double integral over P of xy dx dy ? [Figure description: A Cartesian X-Y plot. The shaded triangular region P has vertices at the origin (0,0), at (2,0) on the X axis and at (0,1) on the Y axis, i.e. bounded by the axes and the straight line joining (0,1) and (2,0).]
Question 2
Distance between origin and the point nearest to it on the surface z^2 = 1 + xy is
Question 3
At x = 0, the function f(x) = |x| has
- A. A maximum
- B. A point of inflection
- C. A minimum
- D. Neither maximum nor minimum
Question 4
General solution of differential equation dy/dx = cos(x + y) is
- A. tan((x+y)/2) = y + c
- B. sin((x+y)/2) = y + c
- C. cos((x+y)/2) = x + c
- D. tan((x+y)/2) = x + c
Question 5
Minimum number of wattmeter required to measure 3 phase, 3 wire balanced or unbalanced power?
Question 6
An electric motor with constant output power will have Torque Speed characteristics in the form of
- A. Straight line through origin
- B. Straight line parallel to speed axis
- C. Circle about origin
- D. Rectangular hyperbola
Question 7
A current impulse 5δ(t) is forced through a capacitor C. The voltage across capacitor Vc(t) is given by?
- A. 5t
- B. 5u(t) - C
- C. (5/C) t
- D. (5/C) u(t)
Question 8
Total instantaneous power supplied by Three phase AC supply to a balanced R-L Load is?
- A. Zero
- B. Constant
- C. Pulsating with zero average
- D. Pulsating with non-zero average
Question 9
RMS value of Voltage v(t) = 8 + 6 cos(3t) ?
- A. 10 V
- B. √82 V
- C. 2√2 + √6 V
- D. 6/√2 V
Question 10
If E is electric field intensity then ∇·(∇ × E) is?
- A. E
- B. |E|
- C. Null vector
- D. Zero
Question 11
Plant Use Factor is
- A. Maximum demand / Connected load
- B. Number of units generated / (Plant capacity × number of hours plant operated)
- C. Average demand / Plant capacity
- D. Average load / Maximum load
Question 12
Two identical synchronous machines A and B running at same speed are connected to each other through an inductor. Machine A is supplying an active power to Machine B and Machine B is supplying reactive power to Machine A, then which among the following is correct?
- A. |Va| > |Vb|
- B. |Va| < |Vb|
- C. |Va| = |Vb|
- D. None of the above
Question 13
A 90 MW, 11 kV generator has an inertia constant H = 3s. The stored energy in the rotor at synchronous speed is
- A. 30 kJ
- B. 270 kJ
- C. 270 MJ
- D. 30 MJ
Question 14
MHO relays are used for protection of
- A. Long transmission lines
- B. Power transformer
- C. Busbars
- D. Short transmission lines
Question 15
HVDC Homo polar links uses
- A. One conductor usually of negative polarity
- B. One conductor usually of positive polarity
- C. Two conductors of positive and negative polarity
- D. Two conductors of negative polarity
Question 16
Due to low internal generation in GTO, the GTO has
- A. Lower latching current
- B. Lower holding current
- C. Lower latching and holding current
- D. Higher latching and holding current
Question 17
In a 3 phase semiconductor, firing angle = 120° and extinction angle = 110°. Each SCR and freewheeling diode conducts respectively for
- A. 60°, 50°
- B. 30°, 50°
- C. 60°, 10°
- D. 30°, 40°
Question 18
A single phase full wave bridge diode rectifier delivers a constant current of 10 A to the load. Average and RMS values of source current are
- A. 5 A, 10 A
- B. 10 A, 10 A
- C. 10 A, 7.07 A
- D. 0 A, 10 A
Question 19
A step down chopper operates from a DC voltage source Vs and feeds a DC motor armature with counter emf Eb. From oscilloscope traces it is found that current increases for time tr, falls to zero over a time tf and remains zero for a time to in every chopping cycle. Then the average voltage across the motor would be
- A. Vs·tr / (tr + tf + to)
- B. (Vs·tr + Eb·tf) / (tr + tf + to)
- C. (Vs·tr + Eb·to) / (tr + tf + to)
- D. (Vs·tr + Eb(tf + to)) / (tr + tf + to)
Question 20
In a single phase inverter using single pulse modulation for control of output voltage, Harmonics of the order 'n' can be eliminated by making the pulse width equal to
- A. 4π/n
- B. 2π/n
- C. π/n
- D. π/2n
Question 21
In a 132 kV system, Phase to Ground capacitance is 0.01 µF and inductance is 4H. Calculate the critical resistance to be connected in order to eliminate restriking if a magnetizing current of 5 A is interrupted by the circuit
- A. 20 kΩ
- B. 10 kΩ
- C. 100 kΩ
- D. 200 kΩ
Question 22
Making capacity of Circuit breaker is
- A. Lesser than the asymmetrical breaking capacity
- B. Greater than the asymmetrical breaking capacity
- C. Equal to the symmetrical breaking capacity
- D. Equal to the asymmetrical breaking capacity
Question 23
What is simplified Boolean equation of a logic circuit. If the circuit output is 1 for following inputs? ABCD = 0010, ABCD = 0110, ABCD = 1000, ABCD = 1100. And output is zero for all other inputs
- A. Ā·C·D̄ + A·C̄·D̄
- B. Ā·C·D + A·C·D̄
- C. A·C·D̄ + Ā·C·D̄
- D. Ā·C·D̄ + A·C·D̄
Question 24
The output frequency of a decade counter that is clocked from 50 kHz signal is.
- A. 12.5 kHz
- B. 50 Hz
- C. 5 kHz
- D. 500 kHz
Question 25
What is transition matrix of ideal transformer with turns ratio n:1 (ie. V1 = nV2)
- A. [[n, 0], [0, 1/n]]
- B. [[1/n, 0], [0, n]]
- C. [[n, 0], [0, -1/n]]
- D. [[1/n, 0], [0, -n]]
Question 26
At the terminals of a 3φ, 6.6 kV, 10 MVA alternator, a load R = 200 Ω is connected between two phases and other phase is kept open. The sequence impedance of the alternator is Z1 = Z2 = j5 Ω and Z0 = j2 Ω. What is the current through the load resistance?
- A. 50 A
- B. 66 A
- C. 75 A
- D. 32 A
Question 27
Transfer function of a system is TF = (s^3 + 2s^2 + 3s + 1) / (s^3 + s^2 + 2s + 1). How may roots are lying on the right half side of S-Plane for numerator and denominator for the transfer function?
- A. 0, 0
- B. 1, 0
- C. 0, 1
- D. None of the above
Question 28
Which among the following is a method of absolute measurement of resistance?
- A. Voltmeter ammeter method
- B. Wheatstone bridge method
- C. Lorentz method
- D. None of the above
Question 29
A second order system has poles at -1 ± j2 and zero at 1. What is the transfer function of the system if the steady state output to an input of unit step is c(t) = 3 ?
- A. (s - 1)/(s^2 + 2s + 5)
- B. -15(s - 1)/(s^2 + 2s + 5)
- C. (s - 1)/(s^2 + 2s + 4)
- D. 5(s - 1)/(s^2 + 2s + 5)
Question 30
The terminal voltage of a delta connected load consisting of 3 equal impedances of 30∠30° Ω is 4.4 kV line to line. Line impedance of each of the three lines connecting the load to bus is ZL = 2∠30° Ω. Find the line to line voltage at the bus.
- A. 4.62 kV
- B. 5.28 kV
- C. 4.4 kV
- D. 4.69 kV
Question 31
A single phase inductive load draws 10 MW at 0.6 power factor lagging. What is the value of the capacitor to be connected in parallel with the load to raise the power factor to 0.80? System voltage is 1000 V and system frequency is 50 Hz.
- A. 30 mF
- B. 40 mF
- C. 19 mF
- D. 23 mF
Question 32
Which among the following statement is true?
- A. Electric charge can produce electric field and magnetic field when stationary
- B. Electric charge can produce electric field when stationary and both electric and magnetic field when moving
- C. Electric charge can produce electric field when moving and magnetic field when stationary
- D. Electric charge can produce electric field and magnetic field while stationary and while moving
Question 33
A 100 MVA single phase transformer rated 80/120 kV is connected as an auto transformer in such a way that the doted terminal of LV side is connected to the un-doted terminal of HV side. Un-doted terminal of LV side is taken as common for both LV and HV. The rated voltage of 80 kV is applied to the low voltage winding of the transformer. Consider the transformer to be ideal and load to be such that the rated current flows through both primary and secondary windings. What is the kVA rating of the autotransformer?
- A. 200 MVA
- B. 250 MVA
- C. 172 MVA
- D. 167 MVA
Question 34
A graph has 8 nodes and 5 independent loops. The number of branches in the graph is.
Question 35
The transfer function of a second order system is TF = 32/(s^2 + 15s + 32). The nature of the system is.
- A. Over damped
- B. Under damped
- C. Critically damped
- D. Oscillatory
Question 36
The value of directional derivative of a function φ(x, y, z) = xy^2 + yz^2 + zx^2 at point (2, -1, 1) along the direction vector p = i + 2j + 2k is.
Question 37
A MOSFET is.
- A. Minority carrier device
- B. Majority carrier device
- C. Both majority and minority carrier device
- D. None of the above
Question 38
A system is having TF = 25s/(s^2 + 8s + 25). What is the time taken to reach maximum peak overshoot for a step input?
- A. π/5
- B. π/3
- C. π/25
- D. None of the above
Question 39
In an RLC series circuit R = 10 Ω, L = 5 H, C = 5 F. Output voltage is measured across the capacitor. The system is
- A. Over damped
- B. Under damped
- C. Critically damped
- D. Oscillatory
Question 40
A box contains 2 blue, 3 black and 4 red balls. Balls are drawn from the box at random one at a time without replacement. The probability of drawing 2 blue balls first followed by 3 black balls and subsequently 4 red balls is
- A. 2/350
- B. 1/629
- C. 1/1260
- D. 1/24
Question 41
Using trapezoidal rule and dividing the interval of integration into three equal sub intervals, the definite integral of |x| dx from -1 to +1 is
- A. 1.11
- B. 2.22
- C. 3.33
- D. 4.44
Question 42
A circular ring of radius 42 cm is cut and bent into the form of a rectangle whose sides are in the ratio of 6:5. The small side of the rectangle is
- A. 80 cm
- B. 30 cm
- C. 120 cm
- D. 60 cm
Question 43
A tank is normally filled in 8 hours but takes 2 hours longer to fill because of a leak at the bottom. If the tank is full and due to leakage alone, the tank will get empty in ______ hours (Assume no further filling happens)
Question 44
From a circular sheet of paper having radius 50 cm, a sector of 40% area is removed in the shape of an arc section. If the remaining part is used to make a conical surface, then the ratio of the radius to height of the cone is
Question 45
For an induction motor operating at a slip 's' the ratio of gross power output to air gap power is?
- A. (1 - s)^2
- B. (1 - s)
- C. √(1 - s)
- D. (1 - s)/s
Question 46
Which of the following statement is true for divergence of electric and magnetic flux densities?
- A. Both are zero
- B. Both are zero for static field densities and non-zero for time varying field density
- C. It is zero for electric flux density
- D. It is zero for magnetic flux density
Question 47
In a transformer, zero voltage regulation is achieved at full load when?
- A. Load is UPF load
- B. Load is leading power factor load
- C. Load is lagging power factor load
- D. Not possible
Question 48
Which one among the following semiconductor devices is not a current triggered device?
- A. Thyristor
- B. GTO
- C. Triac
- D. MOSFET
Question 49
Equation of a line normal to f(x) = (x + 4)^(1/2) + 1 at Q(0, 3) is
- A. y = 3 - 4x
- B. y = 3 + 4x
- C. 4y = 12 - x
- D. 4y = 12 + x
Question 50
Which among the following Maxwell's equation represents conservation of electric field?
- A. ∇ × E = 0
- B. ∇ × D = ρv
- C. ∇ × B = 0
- D. ∇ × H = J
Question 51
Inductive load of resistance 20 Ω and inductance 0.1 H is connected in series and switched on to an AC voltage of V = 100 sin(200t + α). Find the angle α such that there is no transients?
Question 52
What is quality factor of a parallel RLC circuit?
- A. (1/R)√(L/C)
- B. R√(C/L)
- C. √(1/LC)
- D. √(LC)
Question 53
What is analogous to electric field in Magnetic circuits?
- A. Magnetic flux density
- B. Magneto motive force
- C. Reluctance
- D. None of the above
Question 54
A single phase transformer is switched on to an AC supply. In order to have minimum inrush current switch should be closed at?
- A. Maximum supply voltage
- B. Zero supply voltage
- C. 1/√2 times of the maximum supply voltage
- D. 1/2 times of the maximum supply voltage
Question 55
Hysterisis and eddy current losses of single phase transformer working on 200 V, 50 Hz is Ph and Pe respectively. The percentage decrease in Ph and Pe, when the transformer operates on 160 V, 40 Hz supply, will respectively be
- A. 32, 36
- B. 25, 50
- C. 20, 36
- D. 40, 80
Question 56
A 3 phase induction machine draws 1000 kVA at a power factor of 0.866 lag. A synchronous condenser is connected in parallel to draw an additional power of 750 kVA at a leading pf of 0.707. The power factor of the total load supplied by the mains is
- A. 0.95 lag
- B. 0.99 lead
- C. 0.90 lag
- D. 0.95 lead
Question 57
A 3 phase, 4 pole, 400 V, 10 kW slip ring induction motor has rotor resistance = 0.16 Ω per phase and stator resistance of 0.27 Ω per phase. The voltage across the slip rings at standstill is 141 V per phase. The motor develops a torque of 62.4Nm at a slip of 0.08 and the rotor current is 6 A. What is the rotor current if a voltage is injected to the rotor so that the motor runs at slip s = 0.02 and develops same torque?
Question 58
Double cage induction motors are used for
- A. High staring torque
- B. Better speed control
- C. High running torque
- D. None of the above
Question 59
A salient pole alternator has Xd = 1.4 pu and Xq = 1 pu and Ra = 0 pu. If the alternator develops rated power at UPF and at rated voltage what is the power angle?
Question 60
Terminal voltage of a DC shunt motor is halved and the load torque is varied as the square of the speed and field flux is kept constant. Assuming armature resistance is zero, what will be the armature current?
- A. Unchanged
- B. Reduced to half
- C. Reduced to one fourth
- D. Increased twice
Question 61
In a JK flip flop race around condition occurs when.
- A. Both J & K inputs are zero
- B. Both J & K inputs are one
- C. J = 1 and K = 0
- D. J = 0 and K = 1
Question 62
Which among the following logic family has least propagation delay?
- A. TTL
- B. CMOS
- C. DTL
- D. I2L
Question 63
What is the ratio of peak inverse voltage across the diode in center tapped full wave rectifier and the bridge rectifier?
Question 64
When three amplifiers each having higher cut off frequency fh = 10 kHz are cascaded. What is the higher cut off frequency of cascaded system?
- A. 10 kHz
- B. 6.4 kHz
- C. 5.1 kHz
- D. 20 kHz
Question 65
In 8085 microprocessors how many hardware interrupts are maskable?
Question 66
In 8085 microprocessors, which signal is used to insert wait?
- A. READY
- B. ALE
- C. HOLD
- D. INTR
Question 67
An 8 pole alternator runs at 750 rpm. It supplies power to 6 pole induction motor, which has full load slip of 4%. Full load speed of the motor is
- A. 705 rpm
- B. 750 rpm
- C. 960 rpm
- D. 970 rpm
Question 68
A 220 V DC machine has an armature resistance of 1 Ω. If the full load current is 20 A, what is the difference in induced voltage when the machine is running as generator and motor under full load condition
- A. 0 V
- B. 20 V
- C. 40 V
- D. 60 V
Question 69
Use of bundled conductor in EHV lines will
- A. Reduce corona loss
- B. Increase the inductance of transmission line
- C. Reduce the capacitance of transmission line
- D. Increase corona loss
Question 70
Surge impedance of 3 Phase, 400 kV transmission line is 200 Ω. The surge impedance loading of the transmission line is
- A. 400 MW
- B. 1600 MW
- C. 200 MW
- D. 800 MW
Question 71
A surge voltage of 10 kV travels along a cable towards its junction with overhead line. The surge impedance of the cable and the overhead line is 50 Ω and 450 Ω respectively. The surge voltage transmitted to the overhead line is
- A. 2 kV
- B. 9 kV
- C. 18 kV
- D. 20 kV
Question 72
Two single phase transformers Ta and Tb are connected in parallel to supply a load having impedance per phase of 0.8 + j 0.6 pu at a load terminal voltage of 1∠0° pu. Both transformers Ta and Tb has same impedance of j 0.1pu. on same base. The second transformer Tb is stepped up to a voltage 1.05 times that of Ta. What is the current supplied by Ta and Tb to the load?
- A. Ta = 0.4 - j 0.3 pu and Tb = 0.4 - j 0.3 pu
- B. Ta = 0.4 - j 0.05 pu and Tb = 0.4 - j 0.55 pu
- C. Ta = 0.4 - j 0.55 pu and Tb = 0.4 - j 0.05 pu
- D. Ta = 0.4 - j 0.55 pu and Tb = 0.4 - j0. 35 pu
Question 73
Regarding armature reaction reactance of salient pole synchronous generator. Which of the following is correct?
- A. Direct axis armature reaction reactance will be greater than quadrature axis armature reaction reactance
- B. Quadrature axis armature reaction reactance will be greater than Direct axis armature reaction reactance
- C. Quadrature axis armature reaction reactance will be equal to Direct axis armature reaction reactance
- D. None of the above
Question 74
Loading capability diagram is generally drawn for
- A. Induction motor
- B. DC Generator
- C. Synchronous Generator
- D. DC Motor
Question 75
What is minimum phase system
- A. A System with no zeros on right half side of S-plane
- B. A System with no zeros on left half side of S-plane
- C. A System with no poles on left half side of S-plane
- D. A System with no poles on right half side of S-plane
Question 76
An air core toroid with 500 turns having a cross section area of 6 cm^2 and a mean radius of 15 cm is carrying a current of 5A. What is the magnetic flux density at the mean radius?
- A. 2653 T
- B. 1/300 T
- C. 2123 T
- D. 1/400 T
Question 77
The internal inductance per meter (ie. Inductance due to internal magnetic flux linkages) of a long straight wire of circular cross section and uniform current distribution is
- A. µ/π H/m
- B. µ/4π H/m
- C. µ/8π H/m
- D. µL/(4π R) H/m
Question 78
Any electromagnetic disturbance is bound to travel at a velocity of
- A. Velocity of light in vacuum
- B. 1/√(µ0 ε0)
- C. 1/(µ0 ε0)
- D. 1/√(µ ε)
Question 79
In skin effect the skin depth is proportional to (f is frequency)
Question 80
An electric field is mentioned as E = (6y^2 z ax + 12xyz ay + 6xy^2 az) V/m an incremental path is represented by ΔL = (-3ax + 5ay - 2az) µm. What is the work done in moving 2 µC charge along the path if the location of the path is P(0, 2, 5).
- A. 360 pJ
- B. 540 µJ
- C. 720 pJ
- D. 360 µJ