Question Bank MCQ • 1 Mark Section 1: Mathematical Physics Fourier and Laplace transforms

QB_PH_022: Fourier and Laplace transforms

Question Statement

According to the convolution theorem for Laplace transforms, $\mathcal{L}\{(f * g)(t)\}$ equals:
(A) F(s) \cdot G(s)
(B) F(s) + G(s)
(C) \frac{F(s)}{G(s)}
(D) s F(s) G(s)
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: The Laplace transform of convolution is the algebraic product of individual transforms.
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