GATE (TF) Textile 2007 Question Paper Solution | GATE/2007/TF/02

Question 02 (Textile Engineering & Fibre Science)

A function $g(t)$ is defined as follows

$g(t)=\begin{cases}\frac{1}{2\tau}, & \text { when } t_0 - \tau <t< t_0+\tau \ 0, & \text{ when } t \leq t_0-\tau \; and \; t\geq t_0+\tau\end{cases}$

The Laplace transform of the function $g(t)$ is given by

\frac{1}{2s}[exp(s\tau)-exp(-s\tau)]exp(-s\tau_0)

[Show Answer]

Option C is correct.

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GATE Textile Engineering and Fibre Science (TF) Question Papers | GATE Textile Question Answer | GATE Textile Solved Question Papers | GATE Textile Papers | GATE Textile Answer Key

(A)	$\frac{1}{2s}[exp(s\tau)-exp(-s\tau)]exp(-s\tau_0)$
(B)	$\frac{1}{2s}[exp(s\tau)+exp(-s\tau)]exp(-s\tau_0)$
(C)	$\frac{1}{2s\tau}[exp(s\tau)-exp(-s\tau)]exp(-s\tau_0)$
(D)	$\frac{1}{2s\tau}[exp(s\tau)+exp(-s\tau)]exp(-s\tau_0)$