Gate Mitra Mock 2 Question Paper

8/18/2019 Gate Mitra Mock 2 Question Paper

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Gate Mitra Mock Test 2Conducted on 24 and 25 Jan 2016

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Technical QuestionsQuestions 1-25 carry one Mark Each

Question 1

The result of convolving

sint/twith itself is

(A) sint/t (B) cost/t(C) sin /t (D) sin/t cos /t Where M and N are constants. Question 2

The convolution of − and 1 is(A) −1

(B)

1−

1 1−

(C)

1− (D) None of the above

Question 3In the circuit shown below the network inside the box consists of R, L, and/or C.The network is excited by =sin and current is measured to be =sin where 0< < /2. On the basis of given data which of thesefollowing statements regarding the RLC network is/are true?

1. RLC network can be series RL2. RLC network can be series RC3. RLC network can be series RLC with >

4. RLC network can be series RLC with <

(A) 3 only (B) 4 only (C) 1 and 3 only (D) 2 and 4 only


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Question 4

The number of non-zero components in the Discrete Fourier transform ofcos is ______ Question 5In the circuit shown below, the turns ratio : of the transformer for maximumpower to be transferred to the load 400 400 is _____________

Question 6The box consists of only independent sources (voltage and current) and resistivenetwork. It is known that at =0 current through the capacitor is 1 while atsteady state the Voltage across it is 10. The time constant of the given networkin is ______

Question 7The minimum value of I 0 that ensures transistor goes out of saturation region is


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(A) 50 (B) 70 (C) 100 (D) 90 Question 8

Among the following process steps, which of the following is not a hightemperature process

(A) Diffusion (B) Oxidation (C) Lithography (D) Ion Implantation

Question 9The energy band diagram could represent a:

(A) p+n reverse biased diode (B) pn + reverse biased diode

(C) pn+

forward biased diode (D) p+

n forward biased diodeQuestion 10

Assuming tends to infinity and V T to be 25mV, the value of for the circuit shown

below is


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Question 11

What type of feedback does the circuit represent?

(A) Shunt-Shunt (B) Shunt-Series (C) Series-Shunt (D) Series-Series

Question 12A rectangular waveguide filled with air has dimensions a=2 cm, b= 1cm. The ratioof velocity of energy flow in the fundamental mode to the velocity of light is____

Question 13Consider an infinite length transmission line with characteristic impedance 50 ohmsand propagation constant ( ϒ = 2 1excited with source =5c10 volts. The voltage on the line at =1and =1 is _____ VQuestion 14The number of input combinations which differentiates F(A,B,C) and G(A,B,C) are


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F=A’B’C+ A’BC’+ AB’C’+ ABC and G=A’B+BC+A’C

(A) 3 (B) 4 (C) 2 (D) 5

Question 15

Which of the following input combinations to 4X1 MUX can implement Booleanfunction

F = A’BC+AB’+B’C’

(A) X= C’ , Y=C, W=0, Z=1

(B) X= C,Y=C’, W=1, Z=0

(C) X= C’, Y=C, W=A, Z=A’

(D) X= C, Y=C, W=A, Z=C

Question 16The minimum number of 2 input NAND gates required to implement half adderis______

Question 17

Consider a system with characteristic equation 1040485400000 =0. The frequency at which sustained oscillations occur is ___________(rad/sec)Question 18If a control system has a pole at s = -a and zero at s = -b (a>b), then it is a

(A) PD controller (B) Lead compensator (C) Lag compensator (D) Lead lagcompensator


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Question 19

In a superheterodyne receiver mixer translates the carrier frequency f c to fixedfrequency IF of 455 kHz by using local oscillator of frequency f LO.The broadcast bandfrequencies range from 540 to 1600kKz. Determine the range of tuning that must

be provided in the local oscillator.

(A) 85-1145 kHz (B) 995-2055 kHz (C) 85-2055 kHz (D) none

Question 20Number of encirclements of a closed loop stable system with minimum phasetransfer function L(s) around the (-1, j0) point in L(s) plane is

(A) Infinite (B) 1 (C) 0 (D) Depends on transfer function of the system

Question 21A carrier is simultaneously modulated by two sine waves with modulation indicesof 0.3 and 0.4, the total modulation index is ______

Question 22If A is an m x n matrix and B is an n x m matrix and n < m, then AB is

(A) always invertible(B) always not invertible(C) depends on entries of A and B

(D) has rank n

Question 23

If A is an m x n matrix and B is an n x m matrix and n < m, then AB is

(A) always invertible(B) always not invertible(C) depends on entries of A and B(D) has rank n

Question 24

∫ =______


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(A) − (B) + (C) (D) 1 Question 25

In the circuit shown below the turns ratio

: of the transformer is

1:2. The

power supplied by the source of

100∠0 to

60Ω resistor is _________ W

Question 26The Fourier transform of a signal

ℎ is given by

=2 Where / =1 for /2< < /2 =0 otherwiseThe value of ℎ 0 is _______ Question 27

The vector

̅= is left multiplied by the matrix

=[ ] Let denote the product of R and . DFT of is(A)

̅∗ (B) ̅∗ )(C) ̅ )(D) None

Question 28Identify the bode plot of the voltage gain of the following circuit:

+

-


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Question 29In the given circuit ===4 Ω, and =2 Ω. The voltage across thenonlinear device follows the square law. Given =1, the power dissipated by theresistor is _______W.

(A) (B)

(C) (D)


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Question 30

A real and casual signal has Fourier transform that satisfies

∫ { } =2||−||∞

−∞The value of ∗1 is _______ Question 31In the circuit shown below the resistance =1 Ω and inductor =1. Theratio of total energy delivered by the load to the energy stored by the inductor attime =10 is _______ ×10

Question 32The DC current required for the circuit to have a 3dB Bandwidth of 10 fromto is ______ . (Given =25 mV)

+

-


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Question 33

In the new Op-amp configuration shown, the value of V 0 is ____Volts

Question 34The β of a n -p-n transistor is estimated to be 200 considering only the effect of and assuming =1. On the other hand considering only the effect of andassuming =1, the β of the same transistor is found to be 100. What is the actualβ of the transistor if both and are taken into account?( is the base transport factor and is the emitter injection efficiency)

Question 35

An Aluminum gate MOS Capacitor with gate length of 5 and =4is made onp type silicon substrate with =10/ and thickness is 30 nm.Calculate = _______ fF


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Question 36

The RMS Value of current I 0 ______mA. The cut in voltage of the diode is 0.7 Volts.

Question 37Find the value of I 0 …….. mA. (Given V th =25mV)

Question 38

The Electric field variation with distance of a silicon p-n diode is as shown.

The magnitude of peak electric field is 200 kV/cm. The value of Xn is 0.07 A andXp is 0.01 A. (Given:∈ for silicon is 12)The value of log is ………….. ( is in cm -3)


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Question 39

A capacitor is designed with five regions with relative permittivities as shown. Theelectric field (V/m) in region B and charge density (C/ ) on plate above region Care ____

(Calculate the above in the regions far away from the interface of A,B and C,D,E)

(A) 5/6, 4 o (B) 6/5, 2 o (C) 1/3, 9 o (D)3,6 o Question 40A circularly conducting loop of radius 1cm and internal resistance 50 ohm is kept ina time varying magnetic field as shown. The current in the circuit at t=1sec is ____A

(Given

=5− /)

Question 41Consider an EM wave with =5cos ̂ V/m normally incident on aperfect conductor as shown in the given figure. The impedance of the wave at z= - λ/2 is …………..ohms

10V 1

cm


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Question 42

The counter shown is a 3 bit shift register initialized to ‘000’. The state(s) whichcounter doesn’t go through is/are

(A) 111 and 010 (B) 111 only (C) 001 only (D) 010 and 001

Question 43

The above circuit is implemented with TTL gates. If the input C is left floating thenthe function F is

(A) 0 (B) AB (C) A’B’ (D) can’t say


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Question 44

The Unit Step response first peaks at 1.57seconds after a certain time for the unity

feedback system with open loop transfer function = + + The value of K is _________________

Question 45

Let the transfer function of a system be = ++ +. Then the system is(A) Both Controllable and Observable(B) Controllable and Unobservable(C) Either Controllable or Observable(D) Neither Controllable nor Observable

Question 46

Break away point of root locus equation 1+ + + =0 is at s = _________.(A) -0.423 (B) -1.577 (C) both A and B (D) 0.423Question 47Executing the following code in 8085 microprocessor, the content of AL register is

MVI A, 70H

MVI B, 02HStart: ADD BJP NextHLT

Next: ADI 03HJNZ StartHLT

(A) 83H (B) 81H(C) 82H (D) AL keeps on changing as program doesn’t terminate Question 48

DSB modulated signal =0.14000 is multiplied with =4000 4⁄ and is passed through a LPF with bandwidth equal tomessage bandwidth. Message has a power of 2mW. What is the power of thesignal at the output of the LPF _________ μW


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Question 49

S(t) is a rectangular pulse of width 5sec and amplitude 1V. Find the maximumamplitude of the output from matched filter in ______ V

Question 50Six cups and saucers come in pairs: there are two cups and saucers which are red,two which are white and two black. If cups are placed randomly onto the saucers(one each), what is the probability that no cup is upon a saucer of same color _____

Question 51

If =log 3 then

( ) =_______

at =3, = 2, and =1 Question 52The experimental setup for hall-effect is shown below

Given Width=0.1mm, thickness= 10 and length=5mm, =10/ , =10/

.

For B=

10− Wb/cm

2

and a current of 1 mA Find the value of ____Volts

Question 53A binary receiver system receives bit rate of 1Mbps. The waveform amplitude is5mV and noise power spectral density is 0.5*10 -11 W/Hz. The average bit errorprobability if the modulation schemes ASK and BPSK.


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a) Q(2.24), Q(2.24)b) Q(2.24), Q(1.58)c) Q(1.58), Q(2.24)d) Q(1.58), Q(1.58)

Question 54The electric field in lossy medium is given by =5− .cos V/m whereintrinsic impedance of the medium is 230 o ohms. The average power density ofthe wave at =1is…….W/m2 Question 55

Residue of = − −− at it's pole z=1 is _______

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Gate Mitra Mock 2 Question Paper