# If x[n]=(1/3)|n|-(1/2)nu[n], then the region of convergence (ROC) of its Z-transform in the Z-plane will be

1.  1/3

2.  1/3

3.  1/2

4.  1/3

4
Correct Answer :

1/2<|z|<3

Explanation :
No Explanation available for this question

# The Z-transform of the following real expontial sequence x(nT)=an, nT≥0            =0, nT0 is given by

1.   (1/1-z-1); |z|>1

2.  (1/1-az-1); |z|>a

3.  1 for all z

4.  (1/1-az-1); |z|

4
Correct Answer :

(1/1-az-1); |z|>a

Explanation :
No Explanation available for this question

# The transfer function of a system is given by H9s)=1/s2(s-2). The impulse response of the system is

1.   (t2 * e-2t) U(t)

2.  (t * e2t) U(t)

3.  (t2 e-2t)U(t)

4.   (te-2t)U(t)

4
Correct Answer :

(t * e2t) U(t)

Explanation :
No Explanation available for this question

# The differential equation 100d2y/dt2-20dy/dt+y=x(t) describes a system with an input x(t) and an output y(t). The system. Which is initially relaxed, is excited by a unit step input. The output y(t) can be represented by the waveform

1.

2.

3.

4.

4
Correct Answer :

Explanation :
No Explanation available for this question

# The transfer function of a zero-order hold is

1.   1-exp(-Ts)/s

2.   1/s

3.  1

4.  1/[1-exp(-Ts)

4
Correct Answer :

1-exp(-Ts)/s

Explanation :
No Explanation available for this question

# The response of an initially relaxed linear constant parameter network to a unit impulse applied at t=0 is 4e-2tU9t). The response of this network to a unit step function will be

1.  2{1-e-2t]u(t)

2.  4[e-t-e-2t]u(t)

3.  sin 2t

4.  (1-4e-4t)u(t)

4
Correct Answer :

2{1-e-2t]u(t)

Explanation :
No Explanation available for this question

# The impulse response and the excitation function of a linear time invariant causal system are shown in Fig. a and b respectively. The output of the system at t=2 sec. is equal to

1.   0

2.  ½

3.  3/2

4.   1

4
Correct Answer :

½

Explanation :
No Explanation available for this question

# An excitation is applied to a system at t=T and its response is zero for -∞

1.  Non-causal system

2.  Stable system

3.  Causal system

4.  Unstable system

4
Correct Answer :

Causal system

Explanation :
No Explanation available for this question

# The voltage across an impedance in a network is V(s)=Z(s) I(s), where V(s), Z(s) and I(s) are the Laplace Transforms of the corresponding time functions v(t), z(t) and i(t). The voltage v(t) is

1.  v(t)=z(t). i(t)

2.

3.

4.  v(t)=z(t)+i(t)

4
Correct Answer :

Explanation :
No Explanation available for this question

# The impulse response functions of four linear system S1, S2, S3, S4 are given respectively by h1(t)=1; h2(t)=U(t); h3(t)=U(t)/t+1; h4(t)=e-3tU(t), Where U(t) is the unit step function. Which of these systems is time invariant, causal, and  stable

1.   S1

2.  S2

3.  S3

4.   S4

4
Correct Answer :

S4

Explanation :
No Explanation available for this question

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