Railways > Test: The Laplace Transform

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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)

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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)

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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)

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Test: The Laplace Transform - Question 4

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

Test: The Laplace Transform - Question 5

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

Que:

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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)

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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:

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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)

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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)

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Test: The Laplace Transform - Question 10

Determine the bilateral laplace transform and choose correct option

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Test: The Laplace Transform - Question 11

Determine the bilateral laplace transform and choose correct option.

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

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Test: The Laplace Transform - Question 12

Determine the bilateral laplace transform and choose correct option

y(t) = δ(t + 1)

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Test: The Laplace Transform - Question 13

Determine the bilateral laplace transform and choose correct option

x(t) = sin t u(t)

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Test: The Laplace Transform - Question 14

Determine the bilateral laplace transform and choose correct option.

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Test: The Laplace Transform - Question 15

Determine the bilateral laplace transform and choose correct option.

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Test: The Laplace Transform - Question 16

Determine the bilateral laplace transform and choose correct option.

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Test: The Laplace Transform - Question 17

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

Test: The Laplace Transform - Question 18

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

The impulse response is

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

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

Detailed Solution for Test: The Laplace Transform - Question 20

System is stable

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