The identical MOSFETs $M_1$ and $M_2$ in the circuit given below are ideal and biased in the saturation region. $M_1$ and $M_2$ have a transconductance $g_m$ of 5 mS .
The input signals (in Volts) are:
$$ \begin{aligned} & V_1=2.5+0.01 \sin \omega t \\ & V_2=2.5-0.01 \sin \omega t \end{aligned} $$
The output signal $V_3$ (in Volts) is _ .

All the diodes in the circuit given below are ideal.
Which of the following plots is/are correct when $V_I$ (in Volts) is swept from $-M$ to $M$ ?

The diode in the circuit shown below is ideal. The input voltage (in Volts) is given by $V_1=10 \sin 100 \pi t$, where time $t$ is in seconds.
The time duration (in ms, rounded off to two decimal places) for which the diode is forward biased during one period of the input is ________.
