Q.1

The following Variable Entered Map (VEM) represents which of the following function:

  • f(A, B, C, D) = ∑(1, 2, 3, 4, 7, 8, 9, 14, 15) + Φ(3, 5, 12, 13)
  • f(A, B, C, D) = ∑(1, 2, 4, 8, 10, 8, 13, 15) + Φ(3, 6, 12, 14)
  • f(A, B, C, D) = ∑(1, 2, 4, 7, 8, 10, 13, 15) + Φ(6, 12, 13)
  • f(A, B, C, D) = ∑(1, 2, 4, 7, 8, 9, 12, 13) + Φ(3, 5, 14, 15)
Q.2

Consider the circuit shown below of 2 : 1 MUX is given by the function g = ac + bc

Then f is :

  • X ⊕ Y
  • XY + EXY
  • XE + XY
  • none of these
Q.3

A periodic voltage has following values for equal time intervals changing suddenly from one value to next :--etc.
What would be the RMS value of a sine wave having the same peak value as that of the above mentioned periodic wave?

  • 42.2 V
  • 19.098 V
  • 38.2 V
  • none of these
Q.4

In a infinite ladder circuit as shown above each resistance of r Ω then find RAB


  • 13-05-44-2.png
  • 1.61r
  • none of the above
Q.5

The electric field of uniform plane wave is given by E =sin (2 p x 108t- pz) x +cos (2 p x 108t - pz) y. Find phase velocity

  • 2 x 108 m/s
  • p x 108 m/s
  • 2p x 108 m/s
  • none of these
Q.6

The minimal function that can detect a "divisible byBCD code digit (representation D8D4D2D1) is given by

  • D8D1 + D4D2 + D8D2D1
  • D8D1 + D4D2 D1 + D4D2D1 + D8D4D2D1
  • D4D1 + D4D2 + D8D4 D2D1
  • D4D2D1 + D4D2D1 + D8D4D2D1
Q.7

In a infinite ladder circuit as shown above each resistance of r Ω then find RAB


  • 13-05-44-2.png
  • 1.61r
  • none of the above
Q.8

To realize following function 'f',

How many minimum number of 2 input NAND gates are required?

  • 3
  • 6
  • 4
  • 10
Q.9

A control system is as shown in given figure The maximum value of gain K for which the system is stable is

  • more than 5
  • equal to 5
  • less than 1
  • less than 5
Q.10

In the circuit s closed for a long time and steady state is reached. s is opened at t = 0+ Determine current through resistor.

  • A
  • A
  • - A
  • - A
Q.11

The probability density function of a random variable x is as shown.

The mean of the distribution is:

Q.12

A generator ofΩ internal impedance and operating at 1 GHz feeds aΩ load via a coaxial line of characteristic impedanceΩ. The VSWR on the feed line is

  • 0.5
  • 1.5
  • 2.5
  • 1.75
Q.13

A lossless transmission line iscm long and operates at a frequency ofMHz. Inductance and capacitances present in a line are 0.5 μH/m andpF/m. Phase constant and phase velocity are respectively.

  • 5p, 2p x 108 m/sec
  • 5p, 108 m/sec
  • 31.4, 108 m/sec
  • 31.4, 2p x 108 m/sec
Q.14

Two D flip-flop as shown below are to be connected as a synchronous counter that goes through the following Q1Q0 sequence
→→→→→ __________
The inputs D0 and D1 respectively should be connected as

  • Q1 and Q0
  • Q0 and Q1
  • Q1 Q0 and Q1 Q0
  • Q1 Q0 and Q1 Q0
Q.15

Consider the sequence x(n) whose fourier transform X(e) is depicted for - p ≤ ω ≤ p as shown in figure

  1. x(n) is periodic
  2. Real
  3. Even
  4. Finite energy
  • 1 - True, 2 - True, 3 - True, 4 - True
  • 1 - False, 2 - True, 3 - False, 4 - True
  • 1 - True, 2 - False, 3 - True, 4 - False
  • 1 - False, 2 - False, 3 - False, 4 - True
Q.16

Two coils X ofturns and Y ofturns are placed such thatof the flux produced by coil X links coil Y. A current of 1 A in coil X produces 0.1 wb flux. The mutual inductance between coils is

  • 0.12 H
  • 0.08 H
  • 0.06 H
  • 0.04 H
Q.17

The Nyquist sampling rate for the signal s(t) = is given by

  • 400 Hz
  • 600 Hz
  • 1200 Hz
  • 1400 Hz
Q.18

The number of distinct Boolean expressions of 3 variables is

  • 8
  • 256
  • 64
  • 7
Q.19

The region between a pin of parallel perfectly conducting planes of infinite extent is y and z directions is partially filled with a dielectric as shown below.

AGHz TE10 wave is incident on the air-dielectric interface. The value of reflection coefficient at the interface is

Q.20

The following Variable Entered Map (VEM) represents which of the following function:

  • f(A, B, C, D) = ∑(1, 2, 3, 4, 7, 8, 9, 14, 15) + Φ(3, 5, 12, 13)
  • f(A, B, C, D) = ∑(1, 2, 4, 8, 10, 8, 13, 15) + Φ(3, 6, 12, 14)
  • f(A, B, C, D) = ∑(1, 2, 4, 7, 8, 10, 13, 15) + Φ(6, 12, 13)
  • f(A, B, C, D) = ∑(1, 2, 4, 7, 8, 9, 12, 13) + Φ(3, 5, 14, 15)
Q.21

Consider the circuit shown below of 2 : 1 MUX is given by the function g = ac + bc

Then f is :

  • X ⊕ Y
  • XY + EXY
  • XE + XY
  • none of these
Q.22

In a synchro error detector, the output voltage is proportional to [ω(t)]n, where ω(t) is the rotor velocity and n equals :

  • -2
  • -1
  • 1
  • 2
Q.23

To realize following function 'f',

How many minimum number of 2 input NAND gates are required?

  • 3
  • 6
  • 4
  • 10
Q.24

In the circuit s closed for a long time and steady state is reached. s is opened at t = 0+ Determine current through resistor.

  • A
  • A
  • - A
  • - A
Q.25

Consider an angle modulated signal
x(t) = 6cos[2p x 106t + 2sin(8000pt) + 4cos(8000pt)] V
The average power of x(t) is

  • 10W
  • 18W
  • 20W
  • 28W
Q.26

In the circuit shown, the power supplied by the voltage source

  • 0 W
  • 5 W
  • 10 W
  • 100 W
Q.27

An LTI system having transfer function and input x(t) = sin (t +is in steady state. The output is sampled at a rate ωs rad/s to obtain the final output {y(k)}. Which of the following is true?

  • y(.) is zero for all sampling frequencies ωs
  • y(.) is nonzero for all sampling frequencies ωs
  • y(.) is nonzero for ωs > 2, but zero for ωs > 2
  • y(.) is zero for ωs > 2 but nonzero for ωs > 2
Q.28

Two coils X ofturns and Y ofturns are placed such thatof the flux produced by coil X links coil Y. A current of 1 A in coil X produces 0.1 wb flux. The mutual inductance between coils is

  • 0.12 H
  • 0.08 H
  • 0.06 H
  • 0.04 H
Q.29

An air-filled rectangular waveguide has dimensions 8cm x 10cm . The group velocity is

  • 1.8 x 108 m/s
  • 2.6 x 108 m/s
  • 3 x 108 m/s
  • 0.3 x 108 m/s
Q.30

The following Variable Entered Map (VEM) represents which of the following function:

  • f(A, B, C, D) = ∑(1, 2, 3, 4, 7, 8, 9, 14, 15) + Φ(3, 5, 12, 13)
  • f(A, B, C, D) = ∑(1, 2, 4, 8, 10, 8, 13, 15) + Φ(3, 6, 12, 14)
  • f(A, B, C, D) = ∑(1, 2, 4, 7, 8, 10, 13, 15) + Φ(6, 12, 13)
  • f(A, B, C, D) = ∑(1, 2, 4, 7, 8, 9, 12, 13) + Φ(3, 5, 14, 15)
Q.31

The following Variable Entered Map (VEM) represents which of the following function:

  • f(A, B, C, D) = ∑(1, 2, 3, 4, 7, 8, 9, 14, 15) + Φ(3, 5, 12, 13)
  • f(A, B, C, D) = ∑(1, 2, 4, 8, 10, 8, 13, 15) + Φ(3, 6, 12, 14)
  • f(A, B, C, D) = ∑(1, 2, 4, 7, 8, 10, 13, 15) + Φ(6, 12, 13)
  • f(A, B, C, D) = ∑(1, 2, 4, 7, 8, 9, 12, 13) + Φ(3, 5, 14, 15)
Q.32

Consider the circuit shown below of 2 : 1 MUX is given by the function g = ac + bc

Then f is :

  • X ⊕ Y
  • XY + EXY
  • XE + XY
  • none of these
Q.33

The minimal function that can detect a "divisible byBCD code digit (representation D8D4D2D1) is given by

  • D8D1 + D4D2 + D8D2D1
  • D8D1 + D4D2 D1 + D4D2D1 + D8D4D2D1
  • D4D1 + D4D2 + D8D4 D2D1
  • D4D2D1 + D4D2D1 + D8D4D2D1
Q.34

The minimal function that can detect a "divisible byBCD code digit (representation D8D4D2D1) is given by

  • D8D1 + D4D2 + D8D2D1
  • D8D1 + D4D2 D1 + D4D2D1 + D8D4D2D1
  • D4D1 + D4D2 + D8D4 D2D1
  • D4D2D1 + D4D2D1 + D8D4D2D1
Q.35

A lossless transmission line iscm long and operates at a frequency ofMHz. Inductance and capacitances present in a line are 0.5 μH/m andpF/m. Phase constant and phase velocity are respectively.

  • 5p, 2p x 108 m/sec
  • 5p, 108 m/sec
  • 31.4, 108 m/sec
  • 31.4, 2p x 108 m/sec
Q.36

If . dt, then F[y(t)] is

  • - jsgn(f). x(f)
    10-03-35-3.png
    10-03-35-4.png
  • j2pf . e-jptf . x(f)
    10-03-35-3.png
    10-03-35-4.png
Q.37

If . dt, then F[y(t)] is

  • - jsgn(f). x(f)
    10-03-35-3.png
    10-03-35-4.png
  • j2pf . e-jptf . x(f)
    10-03-35-3.png
    10-03-35-4.png
Q.38

Two D flip-flop as shown below are to be connected as a synchronous counter that goes through the following Q1Q0 sequence
→→→→→ __________
The inputs D0 and D1 respectively should be connected as

  • Q1 and Q0
  • Q0 and Q1
  • Q1 Q0 and Q1 Q0
  • Q1 Q0 and Q1 Q0
Q.39

Consider the sequence x(n) whose fourier transform X(e) is depicted for - p ≤ ω ≤ p as shown in figure

  1. x(n) is periodic
  2. Real
  3. Even
  4. Finite energy
  • 1 - True, 2 - True, 3 - True, 4 - True
  • 1 - False, 2 - True, 3 - False, 4 - True
  • 1 - True, 2 - False, 3 - True, 4 - False
  • 1 - False, 2 - False, 3 - False, 4 - True
Q.40

In the circuit shown, the power supplied by the voltage source

  • 0 W
  • 5 W
  • 10 W
  • 100 W
Q.41

Consider an angle modulated signal
x(t) = 6cos[2p x 106t + 2sin(8000pt) + 4cos(8000pt)] V
The average power of x(t) is

  • 10W
  • 18W
  • 20W
  • 28W
Q.42

The Nyquist sampling rate for the signal s(t) = is given by

  • 400 Hz
  • 600 Hz
  • 1200 Hz
  • 1400 Hz
Q.43

An air-filled rectangular waveguide has dimensions 8cm x 10cm . The group velocity is

  • 1.8 x 108 m/s
  • 2.6 x 108 m/s
  • 3 x 108 m/s
  • 0.3 x 108 m/s
Q.44

If . dt, then F[y(t)] is

  • - jsgn(f). x(f)
    10-03-35-3.png
    10-03-35-4.png
  • j2pf . e-jptf . x(f)
    10-03-35-3.png
    10-03-35-4.png
Q.45

In the circuit shown, the power supplied by the voltage source

  • 0 W
  • 5 W
  • 10 W
  • 100 W
Q.46

An LTI system having transfer function and input x(t) = sin (t +is in steady state. The output is sampled at a rate ωs rad/s to obtain the final output {y(k)}. Which of the following is true?

  • y(.) is zero for ωs > 2 but nonzero for ωs > 2
  • y(.) is zero for all sampling frequencies ωs
  • y(.) is nonzero for all sampling frequencies ωs
  • y(.) is nonzero for ωs > 2, but zero for ωs > 2
Q.47

Two D flip-flop as shown below are to be connected as a synchronous counter that goes through the following Q1Q0 sequence
→→→→→ __________
The inputs D0 and D1 respectively should be connected as

  • Q1 and Q0
  • Q0 and Q1
  • Q1 Q0 and Q1 Q0
  • Q1 Q0 and Q1 Q0
Q.48

A system with transfer function H(z) has impulse response h(.) defined as h(=h(= -1 and h(k) = 0 otherwise. Consider the following statements
SH(z) is a low pass filter
SH(z) is a FIR filter.
Which of the following is correct?

  • Only S2 is true
  • Both S1 and S2 are false
  • Both S1 and S2 are true, and S2 is a reason for S1
  • Both S1 and S2 are true, but S2 is not a reason for S1
Q.49

Two discrete time systems with impulse responses h1[n] = δ[n -and h2[n] = δ[n -are connected in cascade. The overall impulse response of the cascaded system is

  • δ[n - 1] + δ[n - 2]
  • δ[n - 4]
  • δ[n - 3]
  • δ[n - 1] + δ[n - 2]
Q.50

(29)13 ÷ (29)12 x (29)x = (23)16 Find x

  • 11
  • 12
  • 13
  • 16
0 h : 0 m : 1 s