Answer :
Answer: The correct answer is:
b) \( e^{-a|t|} \leftrightarrow \frac{2a}{a^2 + \omega^2} \)
This pair is not a Fourier transform pair because the correct Fourier transform of \( e^{-a|t|} \) (which is a two-sided exponential decay function) is \( \frac{2a}{a^2 + \omega^2} \), not \( \frac{2}{a^2 + \omega^2} \). The given option b) does not correctly match the Fourier transform pair due to the incorrect coefficient in the denominator.