Electrical Engineering GATE 2017 Set II Questions with Answer

Ques 27 Engineering Mathematics

A person decides to toss a fair coin repeatedly until he gets a head. He will make at most 3 tosses. Let the random variable Y denote the number of heads. The value of var{Y}, where var{.} denotes the variance, equals

7/8

49/64

7/64

105/64

Ques 28 General Aptitude

An urn contains 5 red balls and 5 black balls. In the first draw, one ball is picked at random and discarded without noticing its colour. The probability to get a red ball in the second draw is

1/2

4/9

5/9

6/9

Ques 29 General Aptitude

Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed

uniformly over the entire volume of the sphere

uniformly over the outer surface of the sphere

concentrated around the centre of the sphere

along a straight line passing through the centre of the sphere

Ques 30 General Aptitude

The figures show diagramatic representations of vector fields X, Y, and Z respectively. Which one of the following choices is true?

∇⋅X=0, ∇×Y≠0, ∇×Z=0

∇⋅X≠0, ∇×Y=0, ∇×Z≠0

∇⋅X≠0, ∇×Y≠0, ∇×Z≠0

∇⋅X=0, ∇×Y=0, ∇×Z=0

Ques 31 General Aptitude

The pole-zero plots of three discrete-time systems P, Q and R on the z-plane are shown below.

Which one of the following is TRUE about the frequency selectivity of these systems?

All three are high-pass filters.

All three are band-pass filters.

All three are low-pass filters.

P is a low-pass filter, Q is a band-pass filter and R is a high-pass filter.

Ques 32 General Aptitude

If a synchronous motor is running at a leading power factor, its excitation induced voltage (E_f) is

equal to terminal voltage V_t

higher than the terminal voltage V_t

less than terminal voltage V_t

dependent upon supply voltage V_t

Ques 33 General Aptitude

When a unit ramp input is applied to the unity feedback system having closed loop transfer function C(s)/R(s) = (Ks+b)/(s²+as+b), (a>0, b>0, K>0), the steady state error will be

a/b

(a+K)/b

(a-K)/b

Ques 34 General Aptitude

The transfer function C(s) of a compensator is given below. C(s) = ((1+s/0.1)(1+s/100))/((1+s)(1+s/10)). The frequency range in which the phase (lead) introduced by the compensator reaches the maximum is

0.1 < ω < 1

1 < ω < 10

10 < ω < 100

ω > 100

Ques 35 General Aptitude

Two resistors with nominal resistance values R₁ and R₂ have additive uncertainties ΔR₁ and ΔR₂, respectively. When these resistances are connected in parallel, the standard deviation of the error in the equivalent resistance R is

±√[ (∂R/∂R₁ * ΔR₁)² + (∂R/∂R₂ * ΔR₂)² ]

±√[ (∂R/∂R₂ * ΔR₁)² + (∂R/∂R₁ * ΔR₂)² ]

±√[ (∂R/∂R₁)²ΔR₂ + (∂R/∂R₂)²ΔR₁ ]

±√[ (∂R/∂R₁)²ΔR₁ + (∂R/∂R₂)²ΔR₂ ]

Ques 36 General Aptitude

A stationary closed Lissajous pattern on an oscilloscope has 3 horizontal tangencies and 2 vertical tangencies for a horizontal input with frequency 3 kHz. The frequency of the vertical input is

1.5 kHz

2 kHz

3 kHz

4.5 kHz

Ques 37 General Aptitude

For a 3-input logic circuit shown below, the output Z can be expressed as

Q + R-bar

P Q-bar + R

Q-bar + R

P + Q-bar + R

Ques 38 Power Electronics

A three-phase voltage source inverter with ideal devices operating in 180° conduction mode is feeding a balanced star-connected resistive load. The DC voltage input is V_dc. The peak of the fundamental component of the phase voltage is

V_dc/π

2V_dc/π

3V_dc/π

4V_dc/π

Ques 39 Power Electronics

The figure below shows the circuit diagram of a controlled rectifier supplied from a 230 V, 50 Hz, 1-phase voltage source and a 10:1 ideal transformer. Assume that all devices are ideal. The firing angles of the thyristors T₁ and T₂ are 90° and 270°, respectively. The RMS value of the current through diode D₃ in amperes is ________.

0 is the correct answer.

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Electrical Engineering GATE 2017 Set II Questions with Answer