$A$ $p-n$ junction diode as a rectifier converts

In the diode-based rectifier circuit given below, if $V_s=V_m \sin \omega t$ and the diode is ideal, then the average value of $V_L$ is

In a half-wave rectifier, an $AC$ input source of frequency $50 \,Hz$ is used. The fundamental frequency of the output is: (in $\,Hz$)

Match List $I$ with List $II$.

List $I$	List $II$
$(a)$ Rectifier	$(i)$ Used either for stepping up or stepping down the $a.c.$ voltage
$(b)$ Stabilizer	$(ii)$ Used to convert $a.c.$ voltage into $d.c.$ voltage
$(c)$ Transformer	$(iii)$ Used to remove any ripple in the rectified output voltage
$(d)$ Filter	$(iv)$ Used for constant output voltage even when the input voltage or load current change

Choose the correct answer from the options given below:

The input a.c. voltage of frequency $60 \,Hz$ is applied to a half-wave rectifier and also to a full-wave rectifier. The output frequency in the case of the half-wave rectifier and that in the case of the full-wave rectifier is respectively:

If the output frequency of a full-wave rectifier is $100 \text{ Hz}$, then the input frequency will be . . . . . . . (in $\text{ Hz}$)