Practice Signals And Systems Multiple Choice Questions with Answers Quiz-3

Q.1.

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.2.

The integral of a unit impulse is unit step function.

True
False

Q.3.

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.4.

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.5.

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

Q.6.

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

True
False

Q.7.

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.8.

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.9.

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

True
False

Q.10.

For the single rectangular pulse of the given figure

F(jω) = [Ad sin (ωd/2)]/(ωd/2).

True
False

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.

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

aⁿ ∪(n - 2)
a^n-2 ∪(n)
aⁿ⁺² ∪(n)
aⁿ ∪(n + 2)

Q.13.

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.14.

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.15.

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.16.

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

Ratio test
Root test
Convergence test
Divergence test

Q.17.

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.18.

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.19.

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.20.

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

aⁿ ∪(n - 2)
a^n-2 ∪(n)
aⁿ⁺² ∪(n)
aⁿ ∪(n + 2)

Q.21.

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.22.

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

Ratio test
Root test
Convergence test
Divergence test

Q.23.

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

Reason (R): The minor of any element of a determinant a_jk is the determinant which remains when the row and column corresponding to a_jk 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.24.

For the single rectangular pulse of the given figure

F(jω) = [Ad sin (ωd/2)]/(ωd/2).

True
False

Q.25.

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

aⁿ ∪(n - 2)
a^n-2 ∪(n)
aⁿ⁺² ∪(n)
aⁿ ∪(n + 2)

Q.26.

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

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 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.29.

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.30.

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.31.

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.32.

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.33.

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.34.

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.35.

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.36.

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.37.

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.38.

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

2p δ (ω)
p δ (ω)
δ(ω)/2p
δ(ω)/p

Q.39.

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

Reason (R): The minor of any element of a determinant a_jk is the determinant which remains when the row and column corresponding to a_jk 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.40.

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

Reason (R): The minor of any element of a determinant a_jk is the determinant which remains when the row and column corresponding to a_jk 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.41.

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.42.

Assertion (A): The exponential form of Fourierseries is

Reason (R): If f(t) is an even function, the coefficients F_n 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.43.

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

Reason (R): The minor of any element of a determinant a_jk is the determinant which remains when the row and column corresponding to a_jk 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.44.

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.45.

Assertion (A): The exponential form of Fourierseries is

Reason (R): If f(t) is an even function, the coefficients F_n 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.46.

The total area under the probability distribution curve is

1
0
depend upon curve equation
∞

Q.47.

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.48.

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.49.

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

40
41
42
82

Q.50.

Choose the correct option

var (X) = σ_x²
σ² = E(X²) - μ²
var (CX) = C² Var (X)
all

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