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This mock test of The Laplace Transform - MCQ Test for Railways helps you for every Railways entrance exam.
This contains 20 Multiple Choice Questions for Railways The Laplace Transform - MCQ Test (mcq) to study with solutions a complete question bank.
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QUESTION: 1

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

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

Solution:

QUESTION: 2

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

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

Solution:

QUESTION: 3

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

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

Solution:

QUESTION: 4

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

Solution:

QUESTION: 5

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

Que:

Solution:

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)

Solution:

QUESTION: 7

Given the transform pair

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

Que:

Solution:

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)

Solution:

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)

Solution:

QUESTION: 10

Determine the bilateral laplace transform and choose correct option

Solution:

QUESTION: 11

Determine the bilateral laplace transform and choose correct option.

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

Solution:

QUESTION: 12

Determine the bilateral laplace transform and choose correct option

y(t) = δ(t + 1)

Solution:

QUESTION: 13

Determine the bilateral laplace transform and choose correct option

x(t) = sin t u(t)

Solution:

QUESTION: 14

Determine the bilateral laplace transform and choose correct option.

Solution:

QUESTION: 15

Determine the bilateral laplace transform and choose correct option.

Solution:

QUESTION: 16

Determine the bilateral laplace transform and choose correct option.

Solution:

QUESTION: 17

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

Solution:

QUESTION: 18

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

The impulse response is

Solution:

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

QUESTION: 19

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

The impulse response is

Solution:

QUESTION: 20

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

The impulse response is

Solution:

System is stable

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