Electronics and Communication Engineering (ECE) Exam  >  Electronics and Communication Engineering (ECE) Tests  >  GATE ECE (Electronics) 2024 Mock Test Series  >  Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Electronics and Communication Engineering (ECE) MCQ

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Electronics and Communication Engineering (ECE) MCQ


Test Description

65 Questions MCQ Test GATE ECE (Electronics) 2024 Mock Test Series - Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test)

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) for Electronics and Communication Engineering (ECE) 2024 is part of GATE ECE (Electronics) 2024 Mock Test Series preparation. The Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) questions and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus.The Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) MCQs are made for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) below.
Solutions of Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) questions in English are available as part of our GATE ECE (Electronics) 2024 Mock Test Series for Electronics and Communication Engineering (ECE) & Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) solutions in Hindi for GATE ECE (Electronics) 2024 Mock Test Series course. Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free. Attempt Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) | 65 questions in 180 minutes | Mock test for Electronics and Communication Engineering (ECE) preparation | Free important questions MCQ to study GATE ECE (Electronics) 2024 Mock Test Series for Electronics and Communication Engineering (ECE) Exam | Download free PDF with solutions
1 Crore+ students have signed up on EduRev. Have you? Download the App
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 1

Consider the circuit shown in the figure.

The Boolean expression F implemented by the circuit is

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 1


Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 2

An LTI system with unit sample response is a

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 2


Obtain



Thus Ideal behaviour of h[n] is Band pass filter.

*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 3

In the circuit shown, V is a sinusoidal voltage source. The current I is in phase with voltage V. 



Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 3

If I &V are in phase then the circuit is in resonance
At resonance

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 4

In a DRAM,

*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 5

Consider an n-channel MOSFET having width W, length L, electron mobility in the channel μn and oxide capacitance per unit area Cox. If gate-to-source voltage VGS = 0.7V, drain-tosource voltage VDS = 0.1V, (μn Cox) = 100μA / V2 , threshold voltage VTH = 0.3 V and (W/L) = 50, then the transconductance gm (in mA/V) is ___________.


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 5

Here, VDS < VGS - VPH, so n-channel MOSFET is working in linear region.

So, transconductance gm is in linear region and is given by

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 6

Two conducting spheres S1 and S2 of radii a and b (b>a) respectively, are placed far apart and connected by a long, thin conducting wire, as shown in the figure.

For some charge placed on this structure, the potential and surface electric field on S1 are Va and Ea, and that on S2 are Vb and Eb, respectively, which of the following is CORRECT? 

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 6

⇒ bc3 two spheres are joined with a conducting wire, the voltage on two spheres is same.

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 7

For the circuit shown in the figure, P and Q are the inputs and Y is the output.

The logic implemented by the circuit is

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 8

An n-channel enhancement mode MOSFET is biased at VGS > VTH and VDS > (VGS - VTH) , where VGS is the gate-to-source voltage, VDS is the drain-to-source voltage and VTH is the threshold voltage. Considering channel length modulation effect to be significant, the MOSFET behaves as a

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 8

If channel length modulation is considered and significant it means λ ≠ 0


If VAS > VTH and VDS > (VDS - VTH) then it indicates that MOSFET is working in saturation region and it can be used as an amplifier. So it can act as current source with finite output impedance.

*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 9

A connection is made consisting of resistance A in series with a parallel combination of resistances B and C. Three resistors of value 10Ω, 5Ω, 2Ω are provided. Consider all possible permutations of the given resistors into the positions A, B, C, and identify the configurations with maximum possible overall resistance, and also the ones with minimum possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ____________.


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 9

The maximum resistance

The minimum resistance

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 10

An npn bipolar junction transistor (BJT) is operating in the active region. If the reverse bias across the base – collector junction is increased, then

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 10

If the reverse bias voltage across the base collector junction is increased, then their effective base width will decrease and collector current will increase, therefore their common-emitter current gain increases.

*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 11

Consider the state space realization
, with the initial condition
where u(t) denotes the unit step function. The value of 


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 11


Apply L.T to above equation


*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 12

The rank of the matrix 


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 12






*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 13

A two – wire transmission line terminates in a television set. The VSWR measured on the line is 5.8. The percentage of power that is reflected from the television set is ______________


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 13

Percentage of power reflected is 

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 14

The input x(t) and the output y(t) of a continuous-time system are related as 

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 14

Given Input-output relationship describes integration over a fundamental period T. The integration over one period is linear and time-invariant.

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 15

Which of the following statements is incorrect?

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 15

The phase-lead controller adds zero and a pole, with the zero to the right of the pole, to the forward-path transfer function. The general effect is to add more damping to the closed-loop system. The rise time and settling time are reduced in general.

→ Reduces the steady state error
→ Reduces the speed of response
→ Increases the gain of original network without affecting stability
→ Permits the increases of gain if phase margin is acceptable
→ System becomes lesser stable
→ Reduces the effect of noise
→ Decrease the bandwidth 

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 16

The residues of a function 

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 16

Z = 4 is a pole of order ‘1’ (or) simple pole

z = – 1 is a pole of order ‘3’.

*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 17

A sinusoidal message signal is converted to a PCM signal using a uniform quantizer. The required signal-to-quantization noise ratio (SQNR) at the output of the quantizer is 40dB. The minimum number of bits per sample needed to achieve the desired SQNR is _______


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 17

For sinusoidal signal
(SNR)Q in dB = 6.0 n + 1.75 
Given required (SNR)Q = 40 dB

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 18

The general solution of the differential equation  in terms of arbitrary 
constants K1 and K2 is

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 18

D2 + 2D - 5 = 0

Where k1, k2 are arbitrary constants.

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 19

Which one of the following graphs shows the Shannon capacity (channel capacity) in bits of a memory less binary symmetric channel with crossover probability P?

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 19

For memory less binary Symmetric channel
Channel capacity




*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 20

The output V0 of the diode circuit shown in the figure is connected to an averaging DC voltmeter. The reading on the DC voltmeter in Volts, neglecting the voltage drop across the diode, is ____________.


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 20

*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 21

Consider the random process X (t) = U+ Vt, where U is a zero-mean Gaussian random variable and V is a random variable uniformly distributed between 0 and 2. Assume that U and V are statistically independent. The mean value of the random process at t = 2 is ____________


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 21

Given x (t) = U+ Vt

*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 22

For the system shown in the figure, Y(s) / X(s) = __________.


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 22


*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 23

The smaller angle (in degrees) between the planes x + y + z =1 and 2x – y + 2z = 0 is 


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 23

x + y + 2 = 1
2x – y + 2z = 0
We have angle between two planes

 

*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 24

Consider the circuit shown in the figure. Assume base-to- emitter voltage VBE = 0.8 V and common base current gain (α) of the transistor is unity.

The value of the collector- to – emitter voltage VCE (in volt) is _______. 


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 24


Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 25

In the figure, D1 is a real silicon pn junction diode with a drop of 0.7V under forward bias condition and D2 is a zener diode with breakdown voltage of -6.8 V. The input Vin(t) is a periodic square wave of period T, whose one period is shown in the figure.

Assuming 10t << T. where t is the time constant of the circuit, the maximum and minimum values of the output waveform are respectively,

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 25

When Vi = 14V, the equivalent circuit is



Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 26

If the vector function is irrotational, then the values of the constants k1, k2 and k3 respectively, are

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 26

*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 27

The un-modulated carrier power in an AM transmitter is 5kW. This carrier is modulated by a sinusoidal modulating signal. The maximum percentage of modulation is 50%. If it is reduced to 40%, then the maximum un-modulated carrier power (in kW) that can be used without overloading the transmitter is ___________


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 27

Total power when μ = 50% is


When μ = 40%
Total power remains 5.625

Pc = 5.22

*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 28

Consider an LTI system with magnitude response 


And phase response Arg {H (f)} = -2f.
If the input to the system is

Then the average power of the output signal y (t) is _________.


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 28

Consider an LTI system with magnitude response 

And phase response Arg {H (f)} = -2f.
If the input to the system is

Then the average power of the output signal y (t) is _________.
28. Obtain X (f ) for the given x(t)



*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 29

A MOS capacitor is fabricated on p-type Si (silicon) where the metal work function is 4.1 eV and electron affinity of Si is 4.0 eV. EC-FF = 0.9 eV, where EC and EF are the conduction band minimum and the Fermi energy levels of Si, respectively. Oxide  F / cm. oxide thickness tox = 0.1 μm and electronic charge q = 1.6 ×10-19 C. If the measured flat band voltage of the capacitor is -1V, then the magnitude of the fixed charge at the oxidesemiconductor interface, in nC/cm2, is __________.


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 29


*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 30

An electron (q1) is moving in free space with velocity 105 m/s towards a stationary electron (q2) far away. The closest distance that this moving electron gets to the stationary electron before the repulsive force diverts its path is ___________ ×10-8m.

[Given, mass of electron m = 9.11×10-31kg, charge of electron e = -1.6×10-19C , and permittivity  


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 30

Work done due to field and external agent must be zero

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 31

The values of the integrals

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 31



*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 32

Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is 40% chance of getting reservation in any attempt by a passenger, then the average number of attempts that passengers need to make to get a seat reserved is _________.


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 32

Let ‘X’ is a random variable which takes number of attempts
Given probability of any attempts to be successful,





∴ Average number of attempts that passengers need to make to get seat reserved is ‘2.5’

*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 33

Figure I shows a 4-bits ripple carry adder realized using full adders and Figure II shows the circuit of a full-adder (FA). The propagation delay of the XOR, AND and OR gates in Figure II are 20 ns, 15 ns and 10 ns respectively. Assume all the inputs to the 4-bit adder are initially reset to 0.


At t = 0, the inputs to the 4-bit adder are changed to

The output of the ripple carry adder will be stable at t (in ns) = ___________


*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 34

The permittivity of water at optical frequencies is 1.75 ε0 . It is found that an isotropic light source at a distance d under water forms an illuminated circular area of radius 5m, as shown in the figure. The critical angle is θc.

The value of d (in meter) is _____________


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 34

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 35

A unity feedback control system is characterized by the open-loop transfer function

The Nyquist path and the corresponding Nyquist plot of G(s) are shown in the figures below.

If 0 < K < 1, then the number of poles of the closed-loop transfer function that lie in the right – half of the s-plane is

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 35

N = 0, Because 0 < L < 1
There are no encircles around (Y, 0)
And

C.E = S3 + 3S2 +10KS + 20K +10
If stable 30 K > 20K+10
K > 1 
Here, in the question asking 0 < K < 1 So, System is unstable

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 36

The signal x (t) = sin (14000πt) , where t is in seconds is sampled at a rate of 9000 samples per second. The sampled signal is the input to an ideal low pass filter with frequency response H(f) as follows :

What is the number of sinusoids in the output and their frequencies in kHz?

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 36

Given input signal x (t) = sin (1400πt)
Input signal spectrum

Sampled signal spectrum is the spectrum of X(f) which repeats with integer multiples of 9 kHz.
Sampled signal spectrum:

The sampled signal spectrum is passed through a LPF of cutoff frequency 12 KHz. Thus the filtered out sinusoids are of 2 KHz 7 KHz and 11 KHz frequency.

*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 37

A unity feedback control system is characterized by the open-loop transfer function 

The value of k for which the system oscillates at 2 rad/s is ________.


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 37




Take auxiliary equation

*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 38

Consider the circuit shown in the figure.

The Thevenin equivalent resistance (in Ω) across P – Q is _________.


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 38



*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 39

The transfer function of a causal LTI system is H(s) = 1/s. If the input to the system is x(t) = [sin(t) / π]u(t), where u(t) is a unit step function, the system output y(t) as t → ∞ is ______.


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 39


By using frequency integration property,

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 40

An integral I over a counter clock wise circle C is given by 
If C is defined as |z| = 3, then the value of I is

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 40


Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 41

Consider a binary memory less channel characterized by the transition probability diagram shown in the figure.

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 41

It is a useless channel as
MAP criteria cannot decide anything on receiving ‘0’ we cannot decide what is transmitted.

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 42

An abrupt pn junction (located at x = 0) is uniformly doped on both p and n sides. The width of the depletion region is W and the electric field variation in the x-direction is E(x). Which of the following figures represents the electric field profile near the pn junction?

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 42

If left side is p-region and right side is n-region then electric field triangle will be down warded and if the left side is n-region and right side is p-region, then electric field triangle will be upward.

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 43

A second – order LTI system is described by the following state equations,

Where x1 (t) and x2 (t) are the two state variables and r(t) denotes the input. The output c(t) = x1(t). The system is. 

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 43


*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 44

Consider the parallel combination of two LTI systems shown in the figure.


The impulse responses of the systems are

If the input x(t) is a unit step signal, then the energy of y(t) is ____________.
 


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 44

Since h1 (t) and h2 (t) are connected in parallel the resultant system can be given as follows.




Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 45

Assuming that transistors M1 and M2 are identical and have a threshold voltage of 1V, the state of transistors M1 and M2 are respectively

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 45

 then transistor is working in saturation region.
So, For M2 transistor

Assume that M1 is working in saturation, so that 

Now, for M1, transistor to work in saturation but it is not satisfied by M1 transistor and VG1 > VTH, so, transistor M1 is ON but working in linear region. 

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 46

A programmable logic array (PLA) is shown in the figure.

The Boolean function F implemented is

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 46

*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 47

A modulating signal given By x(t) = 5 sin (4π10t - 10π cos2π103 t) V is fed to a phase modulator with phase deviation constant kp = 0.5rad/V. If the carrier frequency is 20 kHz, the instantaneous frequency (in kHz) at t = 0.5 ms is __________


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 47



*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 48

The minimum value of the function   in the int erval occurs at x = 
________.


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 48



*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 49

The switch in the circuit, shown in the figure, was open for a long time and is closed at t = 0.
The current i(t) (in ampere) at t = 0.5 seconds is ________


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 49



*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 50

In the voltage reference circuit shown in the figure, the op-amp is ideal and the transistors Q1 Q2….., Q32 are identical in all respects and have infinitely large values of common – emitter current the relation IC = IS exp ((VBE/VT), where Is is the saturation current. Assume that the voltage VP shown in the figure is 0.7 V and the thermal voltage VT = 26mV.

The output voltage Vout(in volts) is __________.


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 50

KCL at node ‘a’

*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 51

The state diagram of a finite state machine (FSM) designed to detect an overlapping sequence of three bits is shown in the figure. The FSM has an input ‘In’ and an output ‘Out’. The initial state of the FSM is S0.


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 51

From the state diagram, let us obtain the transition of states and out when IN channel.
Initial state is So, the input sea is 10101101001101


→ The ticketed mark now corresponding to output = 1.
So output will be 1 ‘4’ times.

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 52

Standard air – filled rectangular waveguides of dimensions a = 2.29 cm and b = 1.02 cm are designed for radar applications. It is desired that these waveguides operate only in the dominatnt TE10 mode but not higher than 95% of the next higher cutoff frequency. The range of the allowable operating frequency f is.

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 52


*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 53

For a particular intensity of incident light on a silicon pn junction solar cell, the photocurrent density (JL) is 2.5 mA/cm2 and the open-circuit voltage (Voc) is 0.451 V. consider thermal voltage (VT) to be 25mV. If the intensity of the incident light is increased by 20 times, assuming that the temperature remains unchanged. Voc (in volts) will be ______.


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 53


Now if the intensity of the light is increased by 20 times it means their photocurrent will also increased by 20 times.

*Answer can only contain numeric values
Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 54

In the circuit shown, transistors Q1 and Q2 are biased at a collector current of 2.6mA. Assuming that transistor current gains are sufficiently large to assume collector current equal to emitter current and thermal voltage of 26 mV, the magnitude of voltage gain V0/Vs in the mid-band frequency range is _____________ (up to second decimal place).

 


Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 54

a.c equivalent circuit for the given figure


Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 55

Two n-channel MOSFETs, T1 and T2, are identical in all respects except that the width of T2 is double that of T1. Both the transistors are biased in the saturation region of operation, but the gate overdrive voltage (VGS-VTH) of T2 is double that of T1, where VGS and VTH are the gate – to – source voltage and threshold voltage of the transistors, respectively. If the drain current and transconductance of T1 are ID1 and gm1 respectively, the corresponding values of these two parameters for T2 are

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 55

Drain current in saturation is

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 56

The ninth and the tenth of this month are Monday and Tuesday ___________.

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 57

500 students are taking one or more courses out of Chemistry, Physics, and Mathematics. Registration records indicate course enrolment as follows: Chemistry (329). Physics (186). Mathematics (295). Chemistry and Physics (83), Chemistry and Mathematics (217), and Physics and Mathematics (63). How many students are taking all 3 subjects?

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 57





Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 58

It is _________ to read this year’s textbook __________ the last year’s.

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 59

Fatima starts from point P, goes North for 3 km, and then East for 4km to reach point Q. She then turns to face point P and goes 15km in that direction. She then goes North for 6km. How far is she from point P, and in which direction should she go to reach point P?

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 59

The required distance

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 60

A rule states that in order to drink beer one must be over 18 years old. In a bar, there are 4 people. P is 16 years old, Q is 25 years old, R is drinking milkshake and S is drinking beer. What must be checked to ensure that the rule is being followed?

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 60

For rules to be followed, we need to check P's drink and S's age.

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 61

Each of P, Q, R, S, W, X, Y and Z has been married at most once. X and Y are married and have two children P and Q. Z is the grandfather of the daughter S of P. Z and W are married and are parents of R. Which one of the following must necessarily be FALSE?

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 62

The number of 3-digit numbers such that the digit 1 is never to the immediate right of 2 is

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 62

Total no. of 3 digit no’s = 9 10 10 = 900
The no. of 3-digit numbers in which ‘1’ is to the immediate right of 2 = 19

∴ The no. of 3-digit no’s such that the digit 1 is never to immediate right of 2 is 900 - 19= 881
Alternate method
Total no. of 3 digit numbers are 

So, no. of 3 digit numbers such that the digit 1 is never to the immediate right of 2 are = 900-19 = 881

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 63

A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25m intervals in this plot.

Which of the following is the steepest path leaving from P?

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 63

Closer lines represents steepest path
Alternate method
The steepest path will be the path which is deepest from sea level. So, P to R is the steepest path.

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 64

1200 men and 500 women can build a bridge in 2 weeks. 900men and 250 women will take 3 weeks to build the same bridge. How many men will be needed to build the bridge in one week?

Detailed Solution for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 64

Given 1200 Men + 500 Women can build a bridge in 2 weeks. And 900 Men + 250 Women will take 3 weeks to build the same bridge
∴ To complete in a week; there are 2400 Men + 1000W required in the first equation and 2700 Men + 750 Women required in the second equation.
∴ 2400 M + 1000W = 2700M + 750W

∴ The no. of men required to build the bridge in one week 

Alternate method
Let a man can build the bridge in x weeks and a woman can build the bridge in y weeks.

By equations i and ii ; we get
x = 3600; y = 3000
⇒ A man build the bridge 3600 weeks
⇒ Required men = 3600 to build in a week.

Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) - Question 65

“If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for the reason of the cleaving of the subcontinent into two mutually antagonistic parts and the effects this mutilation will have in the respective section, and ultimately on Asia, you will not find it in these pages; for though I have spent a lifetime in the country, I lived too near the seat of events, and was too intimately associated with the actors, to get the perspective needed for the impartial recording of these matters.”

Which of the following statements best reflects the author’s opinion?

23 docs|263 tests
Information about Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) Page
In this test you can find the Exam questions for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test) solved & explained in the simplest way possible. Besides giving Questions and answers for Electronics And Communication (Set 2) - ECE 2017 GATE Paper (Practice Test), EduRev gives you an ample number of Online tests for practice
Download as PDF
Download the FREE EduRev App
Track your progress, build streaks, highlight & save important lessons and more!