Q.1

If the value of

  • cannot be determined
  • 0
  • 1
  • ∞
Q.2

For the signal in the given figure the Fourier transform is Then the Fourier transform of the signal in the given figure

Q.3

Assertion (A): Transient periods are of short duration but can result in dangerously high voltages and currents.

Reason (R): Circuit equations in transient analysis are integral differential equations.

  • 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.4

The energy associated with a function f(t) is
. In terms of Fourier transform, E =

Q.5

If f(t) is an odd function, F(jω) =

Q.6

The function sinc x is equal to

Q.7

The inverse Laplace transform of is

  • t2 e-t
    05-29-2.png
    05-29-4.png
  • te-t
    05-29-4.png
Q.8

Transfer function of a linear system ise-j10ω The system is a

  • distortionless Attenuator
  • amplifier with Phase distortion
  • distortionless Amplifier
  • attenuator with Phase distortion
Q.9

which one is discrete time periodic signal?

  • sin 3pn
  • cos 2pn
  • sin 3pn
  • all
Q.10

State space analysis is applicable to

  • time invariant systems
  • time varying systems
  • both time invariant and time varying systems
  • none of the above
Q.11

A signal x(n) = sin(ω0n + φ) is the input to a linear time invariant system having a frequency response H(ejω) If the O/P of the system is Ax(n -n0), then the general form of H(ejω) will be

  • - n0ω0 + β for any arbitrary real β
  • - n0ω0 + 2pk for any arbitrary integer k
  • n0ω0 + 2pk for any arbitrary integer k
  • - n0ω0 + φ
Q.12

ROC of sequence x[n] = (3)n ∪[n] + (4)n ∪[- n - 1]

  • |z| > 4
  • 3 < |z| < 4
  • |z| < 4
  • |z| > 3
Q.13

A voltage v = 5 +sin ωt/ + 5 sin 5 &omegat is applied to a pure capacitor of capacitance 1 ωF. If f/=rad/sec, current is

  • 1 + 0.0157 cos 314 t + 0.00785 cos 1570 t
  • 0.0157 cos 314 t + 0.00785 cos 1570 t
  • 0.0157 sin 314 t + 0.00785 sin 1570 t
  • 0.0157 sin (314 t / + 45°) + 0.00785 sin (1570 t + 45°)
Q.14

A voltage wave is i =sin (ωt). Its average value calculated over one half cycle is

  • zero
  • 70.72 V
  • 63.70 V
  • none of the above
Q.15

Which one is a non-causal system?

  • y(n) = x(2n)
  • y(n) = x(n/2)
  • y(n) = x(n/2) + x(n)
  • all
Q.16

Frequency domain of a periodic triangular function is a

  • discrete sinc function
  • continuous sampling function
  • discrete sampling function
  • continuous sampling square function
Q.17

If Fn represents Fourier series coefficient of f(t), then Fourier series coefficient of f(t + t) =

  • Fne -jω0t
  • Fne jω0t
  • Fne jnω0t
  • Fne -jnω0t
Q.18

δ(t - b) is a pulse function.

  • True
  • False
Q.19

The stationary process has

  • all the statistical Properties dependent on time.
  • all the statistical Properties independent of time.
  • aime average is equal to ensemble average.
  • zero variance.
Q.20

An RLC series circuit has a variable inductance. The value of L for resonance conditions at fundamental frequency is 0.H. For resonance conditions at third harmonic frequency the value of inductance is

  • 0.54 H
  • 0.06 H
  • 0.02 H
  • 1.62 H
Q.21

A linear system is characterized by H(ω) = Be-2ω2 the system is physically

  • unrealizable
  • realizable
  • depends upon B
  • depends upon constant 2
Q.22

The F.T. of a conjugate symmetric function is always

  • imaginary
  • real
  • conjugate Unsymmetric
  • conjugate symmetric
Q.23

For exponential function e-at the Laplace transform 1/(s - a)

  • True
  • False
Q.24

If Fn represents Fourier series coefficient of f(t), then Fourier series coefficient of f(t + t) =

  • Fne -jω0t
  • Fne jω0t
  • Fne jnω0t
  • Fne -jnω0t
Q.25

If x1(t) = 2 sin pt + cos 4 pt and x2(t) = sin 5 pt + 3 sinpt then

  • x1, x2 both periodic
  • x1 x2 both not periodic
  • x1 periodic, x2 not periodic
  • x1 is not periodic ; but x2 is periodic
Q.26

which of the following is not correct?

  • P(A) = P(A) - 1
  • 0 ≤ P ≤ 1
  • If A and B are mitual exclusive then P(A + B) = P(A) + P(B)
  • P(A) = 1 - P(A)
Q.27

The current in a circuit withΩ resistance is i = 3 + 4 sin (t + 45°) + 4 sin (t + 60°) A. The rms current and power dissipated are

  • 41 A and 410 W
  • 35 A and 350 W
  • 5 A and 250 W
  • 11 A and 1210 W
Q.28

Which one is time invariant system?

  • y[n] = x[2n]
  • y[n] = x[n] x[n - 1]
  • y[n] = x[n/2]
  • all
Q.29

Consider the sequence x[n] = [- 4 - j5 1 + J2 4]

  • [- 4 - J2.5 J2 4 - J2.5]
  • [- J2.5 1 J2.5]
  • [- J5 J2 0]
  • [- x 1 4]
Q.30

If Fn represents Fourier series coefficient of f(t), then Fourier series coefficient of f(t + t) =

  • Fne -jω0t
  • Fne jω0t
  • Fne jnω0t
  • Fne -jnω0t
Q.31

An ac network has a power factor of 0.8 leading if the applied wave is of fundamental frequency. If the applied wave contains third and fifth harmonics, the overall power factor will be

  • 0.8 leading
  • less than 0.8 leading
  • more than 0.8 leading
  • 0.8 leading or more
Q.32

The signal define by the equations u(t - a) = 0 for t < a and u(t - a) = 1 for t ≥ a is

  • a unit step function
  • a shifted unit step function orginating at t = a
  • a pulse function
  • none of the above
Q.33

Fourier transform pair are

  • autocorrelation and power spectral density
  • autocorrelation and convoloution
  • convolution and power spectral density
  • autocorrelation and energy
Q.34

δ(t - b) is a pulse function.

  • True
  • False
Q.35

The Fourier series representation of a periodic current (2 + 62 cos ωt +48 sin 2ωt) A. The effective value is

  • (2 + 6 + 24) A
  • 8 A
  • 6 A
  • 2 A
Q.36

If Fn represents Fourier series coefficient of f(t), then Fourier series coefficient of f(t + t) =

  • Fne -jω0t
  • Fne jω0t
  • Fne jnω0t
  • Fne -jnω0t
Q.37

Assertion (A): A sweep circuit operates by virtue of recurring transient phenomenon.

Reason (R): Transients are always undesirable.

  • 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

δ(t - b) is a pulse function.

  • True
  • False
Q.39

δ(t - b) is a pulse function.

  • True
  • False
Q.40

The Laplace transform of unit ramp function starting at t = a is

Q.41

Consider the sequence x[n] = [- 4 - j5 1 + J2 4]

  • [- 4 - J2.5 J2 4 - J2.5]
  • [- J2.5 1 J2.5]
  • [- J5 J2 0]
  • [- x 1 4]
Q.42

Consider the sequence x[n] = [- 4 - j5 1 + J2 4]

  • [- 4 - J2.5 J2 4 - J2.5]
  • [- J2.5 1 J2.5]
  • [- J5 J2 0]
  • [- x 1 4]
Q.43

The Laplace transform of the waveform shown in the below figure is

Q.44

If function f(t) has an initial value f(0-) at t = 0-, the Laplace transform of is

  • sF(s) - f(0-)
  • sF(s) + f(0-)
  • s2F(s) - f(0-)
  • s2F(s) + f(0-)
Q.45

The inverse Laplace transform of

  • eat
  • -eat
  • 1 - eat
  • -1 + eat
Q.46

The Laplace transform of unit ramp function starting at t = a is

Q.47

The Laplace transform of the waveform shown in the below figure is

Q.48

The inverse Laplace transform of

  • eat
  • -eat
  • 1 - eat
  • -1 + eat
Q.49

The Laplace transform of unit ramp function starting at t = a is

Q.50

If function f(t) has an initial value f(0-) at t = 0-, the Laplace transform of is

  • sF(s) - f(0-)
  • sF(s) + f(0-)
  • s2F(s) - f(0-)
  • s2F(s) + f(0-)
0 h : 0 m : 1 s