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

QB_PH_027: Fourier and Laplace transforms

Question Statement

If $f(x)$ is an odd periodic function of period $2L$ on $[-L, L]$, its Fourier series contains:
(A) Only sine terms
(B) Only cosine terms
(C) Both sine and cosine terms
(D) Only a constant term
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: Odd symmetry implies $a_0 = a_n = 0$, leaving exclusively sine terms $b_n$.
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