Which of the following depicts the output of the full-wave rectifier with a capacitor filter for the given $AC$ input?

If the frequency of the input voltage is $50 \,Hz$, applied to a $(a)$ half-wave rectifier and $(b)$ full-wave rectifier, what is the output frequency in both cases, respectively?

If a square signal of $10 \ V$ (varying from $+5 \ V$ to $-5 \ V$) is applied to a $P-N$ junction diode as shown,the output signal across $R_L$ will be:

The $P-N$ junction diode acts as a rectifier in the circuit shown below. An alternating current source is connected to the circuit. The current in the resistor $(R)$ can be observed as follows. Which of the following is correct?

Match List-$I$ with List-$II$:

List-$I$	List-$II$
$(a)$ Rectifier	$(i)$ Used for stepping up or stepping down the $\text{A.C.}$ voltage
$(b)$ Stabilizer	$(ii)$ Used to convert $\text{A.C.}$ voltage into $\text{D.C.}$ voltage
$(c)$ Transformer	$(iii)$ Used to remove any ripple in the rectified output voltage
$(d)$ Filter	$(iv)$ Used for constant output voltage

As shown in the figure,the input is applied between $A$ and $C$,and the output is taken between $B$ and $D$. What should the output be?