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Signals and Systems problems
1. If
is the Laplace transform of
f
(
t
) then
f
(0
+
) is
Options
A. 0
B.
C. 27
D. ?
Show Answer
Scratch Pad
Discuss
Correct Answer: 27
Explanation:
.
2. Inverse Fourier transform of sgn (?) is
Options
A.
B. 1
C. U(
t
)
D.
Show Answer
Scratch Pad
Discuss
Correct Answer:
Explanation:
By duality Property.
3. If I (
s
)
, initial value of
i
(
t
) is
Options
A. 5A
B. 12.5 A
C. 0.05 A
D. 1250 A
Show Answer
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Discuss
Correct Answer: 5A
Explanation:
.
4. The analog signal given below is sampled by 600 samples per second for
m
(
t
) = 3 sin 500
p
t
+ 2 sin 700
p
t
then folding frequency is
Options
A. 500 Hz
B. 700 Hz
C. 300 Hz
D. 1400 Hz
Show Answer
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Discuss
Correct Answer: 300 Hz
Explanation:
.
5. If
f
(
t
) = A d(
t
-
a
), F(
s
) is
Options
A. A
e
-
as
B. A
e
as
C. A
a
e
-as
D. A
a
e
as
Show Answer
Scratch Pad
Discuss
Correct Answer: A
e
-
as
Explanation:
It is an impulse having area A and originating at
t
=
a
.
6. If
then for this to be true
x
(
t
) is
Options
A. exp (
j
2
p
f/t
)
B. exp (-
j
2
p
f/t
)
C. exp (
j
2
p
ft
)
D. exp (-
j
2
p
f/t
)
Show Answer
Scratch Pad
Discuss
Correct Answer: exp (
j
2
p
ft
)
Explanation:
If
.
7. A voltage V(
t
) is a Gaussian ergodic random process with a mean of zero and a variance of 4 volt
2
. If it is measured by a dc meter. The reading will be
Options
A. 0
B. 4
C. 2
D.
2
Show Answer
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Discuss
Correct Answer: 0
Explanation:
DC meter reads mean value.
8. ?(
t
) is a
Options
A. energy signal
B. power signal
C. neither energy nor power
D. none
Show Answer
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Discuss
Correct Answer: power signal
Explanation:
Because Unit step is a Power signal. So By trignometric identifies d(
t
) also power.
.
9. Which one most appropriate dynamic system?
Options
A.
y
(
n
) +
y
(
n
- 1) +
y
(
n
+ 1)
B.
y
(
n
) +
y
(
n
- 1)
C.
y
(
n
) =
x
(
n
)
D.
y
(
n
) +
y
(
n
- 1) +
y
(
n
+ 3) = 0
Show Answer
Scratch Pad
Discuss
Correct Answer:
y
(
n
) +
y
(
n
- 1) +
y
(
n
+ 1)
Explanation:
Because present output of
y
(
n
) depend upon past
y
(
n
- 1) and future
y
(
n
+ 1).
10. Inverse Laplace transform of
is
Options
A. 2 exp (- 2.5
t
) cosh (0.5
t
)
B. exp (- 2
t
) + exp (- 3
t
)
C. 2 exp (- 2.5
t
) sinh (0.5
t
)
D. 2 exp (- 2.5
t
) cos 0.5
t
Show Answer
Scratch Pad
Discuss
Correct Answer: exp (- 2
t
) + exp (- 3
t
)
Explanation:
f
(
t
) =
e
-2
t
+
e
-3
t
.
First
2
3
4
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