Consider a signal defined by x(t)={\\begin{array}{c}e^{j 10 t\end{array} , \text{ for }{|t|} \leq 1 ; 0 , \text{ for }{|t|}>1}. Its Fourier Transform is

Correct Answer is : 2 sin⁡(ω−10)ω−10

\frac{2 \sin ⁡ (\omega −10) }{\omega −10}

\frac{2e^{j10} \sin ⁡ (\omega −10) }{\omega −10}

\frac{2sin\omega }{\omega −10}

\frac{e^{j10\omega }2sin\omega }{\omega }

GATE Electrical Engineering (EE) 2015 Shift 2 Solved Paper

Question : 39 of 65

Marks: +1, -0

Consider a signal defined by

x(t)={\{\table e^{j 10 t} , \;\text " for "\;{|t|} ≤ 1 ; 0 , \;\text " for "\;{|t|}>1}.

Its Fourier Transform is

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