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Test: The Laplace Transform

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20 Questions MCQ Test | Test: The Laplace Transform

Test: The Laplace Transform for Railways 2023 is part of Railways preparation. The Test: The Laplace Transform questions and answers have been prepared according to the Railways exam syllabus.The Test: The Laplace Transform MCQs are made for Railways 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: The Laplace Transform below.

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Test: The Laplace Transform - Question 1

Given the transform pair below. Determine the time signal y(t) and choose correct option.

Que: Y(s) = (s + 1)X(s)

A.
B.
C.
D.

Detailed Solution for Test: The Laplace Transform - Question 1

Test: The Laplace Transform - Question 2

Given the transform pair below. Determine the time signal y(t) and choose correct option.

Que: Y(s) = X(3s)

A.
B.
C.
cos 6t u(t)
D.
1/3 cos 6t u(t)

Detailed Solution for Test: The Laplace Transform - Question 2

Test: The Laplace Transform - Question 3

Given the transform pair below. Determine the time signal y(t) and choose correct option.

Que: Y(s) = X(s + 2)

A.
cos 2(t - 2) u(t)
B.
e^2t cos2t u(t)
C.
cos 2(t + 2) u(t)
D.
e^-^2t cos2t u(t)

Detailed Solution for Test: The Laplace Transform - Question 3

Test: The Laplace Transform - Question 4

Unilateral Laplace Transform is applicable for the determination of linear constant coefficient differential equations with ________

A.
Zero initial condition
B.
Non-zero initial condition
C.
Zero final condition
D.
Non-zero final condition

Test: The Laplace Transform - Question 5

Given the transform pair below. Determine the time signal y(t) and choose correct option.

Que:

A.
t cos 2(t - 3) u(t - 3)
B.
t cos 2(t - 3) u(t)
C.
-t cos 2(t - 3) u(t - 3)
D.
-t cos 2(t - 3) u(t)

Detailed Solution for Test: The Laplace Transform - Question 5

Test: The Laplace Transform - Question 6

Given the transform pair

Determine the Laplace transform Y(s) of the given time signal in question and choose correct option.

Que: y(t) = x(t - 2)

A.
B.
C.
D.

Detailed Solution for Test: The Laplace Transform - Question 6

Test: The Laplace Transform - Question 7

Given the transform pair

Determine the Laplace transform Y(s) of the given time signal in question and choose correct option.

Que:

A.
B.
C.
D.

Detailed Solution for Test: The Laplace Transform - Question 7

Test: The Laplace Transform - Question 8

Given the transform pair

Determine the Laplace transform Y(s) of the given time signal in question and choose correct option.

Que: y(t) = e^-t x(t)

A.
B.
C.
D.

Detailed Solution for Test: The Laplace Transform - Question 8

Test: The Laplace Transform - Question 9

Given the transform pair

Determine the Laplace transform Y(s) of the given time signal in question and choose correct option.

Que: y(t) = 2tx(t)

A.
B.
C.
D.

Detailed Solution for Test: The Laplace Transform - Question 9

Test: The Laplace Transform - Question 10

Determine the bilateral laplace transform and choose correct option

A.
B.
C.
D.

Detailed Solution for Test: The Laplace Transform - Question 10

Test: The Laplace Transform - Question 11

Determine the bilateral laplace transform and choose correct option.

x(t) = u(-t + 3)

A.
B.
C.
D.

Detailed Solution for Test: The Laplace Transform - Question 11

Test: The Laplace Transform - Question 12

Determine the bilateral laplace transform and choose correct option

y(t) = δ(t + 1)

A.
e^s , Re(s) > 0
B.
e^s , Re(s) < 0
C.
e^s, all s
D.
None of the above

Detailed Solution for Test: The Laplace Transform - Question 12

Test: The Laplace Transform - Question 13

Determine the bilateral laplace transform and choose correct option

x(t) = sin t u(t)

A.
B.
C.
D.

Detailed Solution for Test: The Laplace Transform - Question 13

Test: The Laplace Transform - Question 14

Determine the bilateral laplace transform and choose correct option.

A.
B.
C.
D.

Detailed Solution for Test: The Laplace Transform - Question 14

Test: The Laplace Transform - Question 15

Determine the bilateral laplace transform and choose correct option.

A.
B.
C.
D.

Detailed Solution for Test: The Laplace Transform - Question 15

Test: The Laplace Transform - Question 16

Determine the bilateral laplace transform and choose correct option.

A.
B.
C.
D.

Detailed Solution for Test: The Laplace Transform - Question 16

Test: The Laplace Transform - Question 17

Where is the ROC defined or specified for the signals containing causal as well as anti-causal terms?

A.
Greater than the largest pole
B.
Less than the smallest pole
C.
Between two poles
D.
Cannot be defined

Test: The Laplace Transform - Question 18

The transform function H(s) of a causal system is

The impulse response is

A.
B.
C.
D.

Detailed Solution for Test: The Laplace Transform - Question 18

For a causal system h(t) = 0 for t < 0

Test: The Laplace Transform - Question 19

The transfer function H(s) of a stable system is

The impulse response is

A.
B.
C.
D.

Detailed Solution for Test: The Laplace Transform - Question 19

Test: The Laplace Transform - Question 20

The transfer function H(s) of a stable system is

The impulse response is

A.
B.
C.
D.

Detailed Solution for Test: The Laplace Transform - Question 20

System is stable

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