The peak value of $220 \,volts$ of $ac$ mains is......$volts$

The voltage of an $ac$ source varies with time according to the equation $V = 100\sin \,\left( {100\pi t} \right)\cos \,\left( {100\pi t} \right)$ where $t$ is in seconds and $V$ is in volts. Then

In given circuit, voltage across the inductor will be .....$V$

A periodic voltage $V$ varies with time $t$ as shown in the figure. $T$ is the time period. The $r.m.s$. value of the voltage is :-

Statement $-1$ : Capacitor can be used in $a.c.$ circuit in place of choke coil.
Statement $-2$ : Capacitor blocks $d.c.$ and allows $a.c.$ only.

The voltage of an ac source varies with time according to the equation $V = 100\sin \;100\pi t\,\cos \,100\pi t$ where $t$ is in seconds and $V$ is in volts. Then