Question

2.
The equation of an alternating voltage is V = 100/2 sin 100nt volt. The RMS value of voltage and frequency
will be respectively
(1) 100 V, 50 Hz
(2) 50 V, 100 Hz
(3) 150 V, 50 Hz
(4) 200 V, 50 Hz​

Answer 1

Angular frequency is nothing but coefficient of t in the equation,

so we have $\large ω = 100π \: or \: 2πf = 100π,$ we get $\large f = 50Hz$

rms voltage is $\large \frac {peak \: voltage}{\sqrt[ ^ { 2 } ]{ 2 }} = 100 \sqrt[ ^ { 2 } ]{ 2 } / \sqrt[ ^ { 2 } ]{ 2 } = 100V.$

So option A is correct.