Allied & ICAR Exam Bank • ALLIED_2715 MCQ • 1 Mark

Section 1: Engineering Mathematics

Differential Equations

Subtopic: Laplace transforms and their inverse

Question Statement:

The Laplace transform of $\sin(\omega t)$ is:

Options:

  • (A) $\frac{\omega}{s^2 + \omega^2}$
  • (B) $\frac{s}{s^2 + \omega^2}$
  • (C) $\frac{\omega}{s^2 - \omega^2}$
  • (D) $\frac{s}{s - \omega}$

Answer Key:

A

Step-by-Step Solution & Explanation

Standard transform: $\mathcal{L}\{\sin \omega t\} = \frac{\omega}{s^2 + \omega^2}$.
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