Which of the following units denotes the dimension $\frac{{M{L^2}}}{{{Q^2}}}$ where $Q$ denotes the electric charge?

The r.m.s. voltage of domestic electricity supply is $220$ $volt$ . Electrical appliances should be designed to withstand an instantaneous voltage of......$V$

A resistance of $20$ ohms is connected to a source of an alternating potential $V = 220\,sin\,(100\,\pi t)$. The time taken by the current to change from its peak value to r.m.s value is

Three alternating voltage sources $V_1$ = $3 sin \omega t $ volt , $V_2= 5  sin(\omega t + \phi _1)$ volt and $V_3 = 5  sin(\omega t -\phi_2 )$ volt connected across a resistance $R= \sqrt {\frac{7}{3}} \Omega $ as shown in the figure (where $ \phi_1$  and $ \phi_2$   corresponds to $30^o $ and $127^o $ respectively). Find the peak current (in Amp) through the resistor

The charge in an $LC$ circuit with negligible resistance oscillates as given by equation $\frac{{{d^2}q}}{{d{t^2}}} + 16{\pi ^2}q = 0$. If the charge is maxiumum equal to $24\,\mu C$ at $t = 0$, find the charge at $t = \frac{1}{{12}}\,s$............$\,\mu C$

If $i = {t^2}$ $0 < t < T$ then $r.m.s$. value of current is