Q 12-07-014NEETJEE MainEasy
The rms value of an alternating voltage $V = 311\sin(100\pi t)$ volt and its frequency are
Answer: (A) $220$ V and $50$ Hz
Concept. $V_{\text{rms}} = \dfrac{V_0}{\sqrt2}$ and $f = \dfrac{\omega}{2\pi}$.
Step 1. rms value. $\dfrac{311}{\sqrt2} \approx 220$ V.
Step 2. Frequency. $\dfrac{100\pi}{2\pi} = 50$ Hz.
Answer. $220$ V and $50$ Hz (Option A).
Solution by Sreeraj P, M.Sc Physics