Q.1

A stationary process has

  • all statistical properties independent of time
  • all statistical properties dependent of time
  • zero variance
  • ensemble average equal to time average
Q.2

The data about p the pull required to lift a weight wby a pulley block is

The linear law p = a + bw is

  • 3.2 + 0.171 w
  • 2.28 + 0.1879 w
  • 1.2 + 0.25 w
  • 0.6 + 0.3 w
Q.3

Which of the following can be impulse response of a casual system?

Q.4

If X(z) = (1 - az-1)-1 and |a| < |z|, the initial value x0 = 0

  • True
  • False
Q.5

If two mutually exclusive events A and B can happen in m and n ways, then either A or B can happen in (m + n) ways.

  • True
  • False
Q.6

A function will have only sine terms if

  • f(t) = - f(t)
  • f(-t) = f(t)
  • f(-t) = -f(t)
  • none of the above
Q.7

If f(- t) = f(t), the function f(t) has only cosine terms.

  • True
  • False
Q.8

For the single rectangular pulse of the given figure

F(jω) = [Ad sin (ωd/2)]/(ωd/2).

  • True
  • False
Q.9

A stationary process has

  • all statistical properties independent of time
  • all statistical properties dependent of time
  • zero variance
  • ensemble average equal to time average
Q.10

A discrete LTI system is non-casual if its impulse response is

  • an ∪(n - 2)
  • an-2 ∪(n)
  • an+2 ∪(n)
  • an ∪(n + 2)
Q.11

A stationary process has

  • all statistical properties independent of time
  • all statistical properties dependent of time
  • zero variance
  • ensemble average equal to time average
Q.12

The data about p the pull required to lift a weight wby a pulley block is

The linear law p = a + bw is

  • 3.2 + 0.171 w
  • 2.28 + 0.1879 w
  • 1.2 + 0.25 w
  • 0.6 + 0.3 w
Q.13

The function shown in the given Figure can be written as

  • sum of two sinusoidal functions
  • sum of two sinusoidal functions one originating at t = 0 and the other at t = 1
  • difference of two sinusoidal functions one originating at t = 0 and the other at t = 1
  • none of the above
Q.14

If the sequence |xn|1/n converges, then the series converages absolutely is

  • Ratio test
  • Root test
  • Convergence test
  • Divergence test
Q.15

Assertion (A): The wave shown in the given figure does not contain the dc component and even harmonics

Reason (R): If f(- t) = f(t) the wave has only cosine terms.

  • Both A and R are correct and R is correct explanation of A
  • Both A and R are correct but R is not correct explanation of A
  • A is true, R is false
  • A is false, R is true
Q.16

The output of a linear system for any input can be computed in which of the following ways?

  • Only by summation of inpulse response by convolution integral
  • Only by summation of step response by superposition integral
  • Neither a nor b
  • Either (a) or (b)
Q.17

Which one of following is correct condition to check the stability of sysytem in terms of impulse response?

  • Σ(x(n)) < ∞
  • Σx(n) < 0
  • Σx(n) = 0
  • Σx(n) = ∞
Q.18

A discrete LTI system is non-casual if its impulse response is

  • an ∪(n - 2)
  • an-2 ∪(n)
  • an+2 ∪(n)
  • an ∪(n + 2)
Q.19

The minimum sampling frequency in sample/sec. required to reconstruct the following signal from its samples wuthout distortion
would be

  • 2 x 103
  • 4 x 103
  • 6 x 103
  • 8 x 103
Q.20

If the sequence |xn|1/n converges, then the series converages absolutely is

  • Ratio test
  • Root test
  • Convergence test
  • Divergence test
Q.21

Assertion (A): For the determinant the minor for
a11 is

Reason (R): The minor of any element of a determinant ajk is the determinant which remains when the row and column corresponding to ajk are deleted.

  • Both A and R are correct and R is correct explanation of A
  • Both A and R are correct but R is not correct explanation of A
  • A is true, R is false
  • A is false, R is true
Q.22

For the single rectangular pulse of the given figure

F(jω) = [Ad sin (ωd/2)]/(ωd/2).

  • True
  • False
Q.23

A discrete LTI system is non-casual if its impulse response is

  • an ∪(n - 2)
  • an-2 ∪(n)
  • an+2 ∪(n)
  • an ∪(n + 2)
Q.24

Which of the following can be impulse response of a casual system?

Q.25

Assertion (A): The wave shown in the given figure does not contain the dc component and even harmonics

Reason (R): If f(- t) = f(t) the wave has only cosine terms.

  • Both A and R are correct and R is correct explanation of A
  • Both A and R are correct but R is not correct explanation of A
  • A is true, R is false
  • A is false, R is true
Q.26

The tree selected for the formation of state equations contains

  • all voltage sources
  • all capacitors
  • all inductors and current sources
  • all voltage sources and maximum number of capacitors
Q.27

Assertion (A): The wave shown in the given figure does not contain the dc component and even harmonics

Reason (R): If f(- t) = f(t) the wave has only cosine terms.

  • Both A and R are correct and R is correct explanation of A
  • Both A and R are correct but R is not correct explanation of A
  • A is true, R is false
  • A is false, R is true
Q.28

The output of a linear system for any input can be computed in which of the following ways?

  • Only by summation of inpulse response by convolution integral
  • Only by summation of step response by superposition integral
  • Neither a nor b
  • Either (a) or (b)
Q.29

Which one of following is correct condition to check the stability of sysytem in terms of impulse response?

  • Σ(x(n)) < ∞
  • Σx(n) < 0
  • Σx(n) = 0
  • Σx(n) = ∞
Q.30

The tree selected for the formation of state equations contains

  • all voltage sources
  • all capacitors
  • all inductors and current sources
  • all voltage sources and maximum number of capacitors
Q.31

Assertion (A): In the curve , a high value of h indicate a high peak and rapid fall in the curve.

Reason (R): If the number of ways in an event may result can be analysed into a successes and b failures, each equally likely to occur, the probability of success in a single trial is

  • Both A and R are correct and R is correct explanation of A
  • Both A and R are correct but R is not correct explanation of A
  • A is true, R is false
  • A is false, R is true
Q.32

The minimum sampling frequency in sample/sec. required to reconstruct the following signal from its samples wuthout distortion
would be

  • 2 x 103
  • 4 x 103
  • 6 x 103
  • 8 x 103
Q.33

The tree selected for the formation of state equations contains

  • all voltage sources
  • all capacitors
  • all inductors and current sources
  • all voltage sources and maximum number of capacitors
Q.34

Assertion (A): The wave shown in the given figure does not contain the dc component and even harmonics

Reason (R): If f(- t) = f(t) the wave has only cosine terms.

  • Both A and R are correct and R is correct explanation of A
  • Both A and R are correct but R is not correct explanation of A
  • A is true, R is false
  • A is false, R is true
Q.35

The output of a linear system for any input can be computed in which of the following ways?

  • Only by summation of inpulse response by convolution integral
  • Only by summation of step response by superposition integral
  • Neither a nor b
  • Either (a) or (b)
Q.36

Fourier transform o the function f(t) = 1 is

  • 2p δ (ω)
  • p δ (ω)
  • δ(ω)/2p
  • δ(ω)/p
Q.37

Assertion (A): For the determinant the minor for
a11 is

Reason (R): The minor of any element of a determinant ajk is the determinant which remains when the row and column corresponding to ajk are deleted.

  • Both A and R are correct and R is correct explanation of A
  • Both A and R are correct but R is not correct explanation of A
  • A is true, R is false
  • A is false, R is true
Q.38

Assertion (A): For the determinant the minor for
a11 is

Reason (R): The minor of any element of a determinant ajk is the determinant which remains when the row and column corresponding to ajk are deleted.

  • Both A and R are correct and R is correct explanation of A
  • Both A and R are correct but R is not correct explanation of A
  • A is true, R is false
  • A is false, R is true
Q.39

The function shown in the given Figure can be written as

  • sum of two sinusoidal functions
  • sum of two sinusoidal functions one originating at t = 0 and the other at t = 1
  • difference of two sinusoidal functions one originating at t = 0 and the other at t = 1
  • none of the above
Q.40

Assertion (A): The exponential form of Fourierseries is

Reason (R): If f(t) is an even function, the coefficients Fn are real.

  • Both A and R are correct and R is correct explanation of A
  • Both A and R are correct but R is not correct explanation of A
  • A is true, R is false
  • A is false, R is true
Q.41

Assertion (A): For the determinant the minor for
a11 is

Reason (R): The minor of any element of a determinant ajk is the determinant which remains when the row and column corresponding to ajk are deleted.

  • Both A and R are correct and R is correct explanation of A
  • Both A and R are correct but R is not correct explanation of A
  • A is true, R is false
  • A is false, R is true
Q.42

Assertion (A): In the curve , a high value of h indicate a high peak and rapid fall in the curve.

Reason (R): If the number of ways in an event may result can be analysed into a successes and b failures, each equally likely to occur, the probability of success in a single trial is

  • Both A and R are correct and R is correct explanation of A
  • Both A and R are correct but R is not correct explanation of A
  • A is true, R is false
  • A is false, R is true
Q.43

Assertion (A): The exponential form of Fourierseries is

Reason (R): If f(t) is an even function, the coefficients Fn are real.

  • Both A and R are correct and R is correct explanation of A
  • Both A and R are correct but R is not correct explanation of A
  • A is true, R is false
  • A is false, R is true
Q.44

The total area under the probability distribution curve is

  • 1
  • 0
  • depend upon curve equation
  • ∞
Q.45

Which one of following is correct condition to check the stability of system?

  • Bounded I/P unbounded O/P
  • Bounded I/P and O/P
  • Bounded O/P and I/P
  • Bounded I/P Bounded O/P
Q.46

Let f1(t) = G1(t) +f2(t) = G2(t) +If G1(t) and G2(t) are uncorrected then the correlation between f1(t) and f2(t) are

  • 12
  • 7
  • 6
  • zero
Q.47

The power in the signal s(t) = 8 cos (p - p/+ 4 sin (pt) is

  • 40
  • 41
  • 42
  • 82
Q.48

Choose the correct option

  • var (X) = σx2
  • σ2 = E(X2) - μ2
  • var (CX) = C2 Var (X)
  • all
Q.49

If xk = 2k for k ≤ 0 and = 0 for k > 0 X(z) = 2/(2 - z).

  • True
  • False
Q.50

If p is the probability of success and q is the probability of failure, then the probability that there are r successes in n trails is

  • ncr pr qn - r
  • ncr pn - r qr
  • ncr pr qn + r
  • ncr pn qn - r
0 h : 0 m : 1 s