Examveda

Match List-I with List-II and select the correct answer using the options given below:
List-I (Function) List-II (Fourier Transforms)
a. $$\exp \left( { - \alpha t} \right)u\left( t \right),\,\alpha > 0$$ 1. $$\frac{1}{{{{\left( {\alpha + j2\pi f} \right)}^2}}}$$
b. $$\exp \left( { - \alpha \left| t \right|} \right),\,\alpha > 0$$ 2. $$\frac{1}{{\alpha + j2\pi f}}$$
c. $${\text{texp}}\left( { - \alpha t} \right)u\left( t \right),\,\alpha > 0$$     3. $$\delta \left( {f - \frac{\alpha }{{{t_0}}}} \right)$$
d. $$\exp \left( {j2\pi \alpha t/{t_0}} \right)$$ 4. $$\frac{{2\alpha }}{{{\alpha ^2} + {{\left( {2\pi f} \right)}^2}}}$$

A. a-3, b-1, c-4, d-2

B. a-2, b-4, c-1, d-3

C. a-3, b-4, c-1, d-2

D. a-2, b-1, c-4, d-3

Answer: Option B


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