In a diode $AM$ detector,the output circuit has $R = 1 \ k\Omega$ and $C = 10 \ pF$. Can it detect a carrier signal of $100 \ kHz$?

In a full-wave rectifier circuit without a filter,the output current is

Statement-$I$: To get a steady $DC$ output from the pulsating voltage received from a full wave rectifier,we can connect a capacitor across the output parallel to the load $R_L$.
Statement-$II$: To get a steady $DC$ output from the pulsating voltage received from a full wave rectifier,we can connect an inductor in series with $R_L$.
In the light of the above statements,choose the most appropriate answer from the options given below:

If in a $p-n$ junction diode, a square input signal of $5 \,V$ to $-5 \,V$ is applied as shown, then the output signal across $R_L$ will be:

For the circuit shown in the figure,what will be the voltage waveform across the diode? Assume the diode is ideal.

Write the types of rectifier.