AIIMS 2019 Physics Amplitude Modulation MCQ Question

To find the carrier voltage $V_C$ in amplitude modulation, we use the formula for the modulation index $\mu$, defined as $\mu = \frac{V_m}{V_C}$, where $V_m$ is the peak voltage of the modulating signal. Given $\mu = \frac{1}{2}$ and $V_m = 2$, we can rearrange the formula to find $V_C = \frac{V_m}{\mu} = \frac{2}{\frac{1}{2}} = 4$.

Options B (2) and C (6) are incorrect because they do not satisfy the relationship defined by the modulation index and the given values of $V_m$ and $\mu$. Option D (N/A) is also incorrect as a valid answer exists.