The instantaneous voltages at three terminals marked $X,Y$ and $Z$ are given by $V_X=V_0\sin \omega t,V_Y=V_0\sin \left(\omega t+\frac{2\pi }{3}\right)$ and $V_Z=V_0\sin \left(\omega t+\frac{4\pi }{3}\right)$. An ideal voltmeter is configured to read rms value of the potential difference between its terminals. It is connected between points $X$ and $Y$ and then between $Y$ and $Z$. The reading(s) of the voltmeter will be

Hysteresis loops for two magnetic materials $\mathrm{A}$ and  $\mathrm{B}$ are given below :

These materials are used to make magnets for electric generators, transformer core and electromagnet core. Then it is proper to use :

An $LCR$ circuit is equivalent to a damped pendulum. In an $LCR$ circuit the capacitor is charged to $Q_0$ and then connected to the $L$ and $R$ as shown below:

If a student plots graphs of the square of maximum charge $\left({Q^2}_{\mathrm{Max}}\right)$ on the capacitor with time $\left(t\right)$ for two different values $L_1 \mathrm{and} L_2(L_1>L_2)$of $L$ then which of the following represents this graph correctly? (Plots are schematic and not drawn to scale)