In a transistor amplifier, $\beta = 62$, $R_L = 5 \times 10^3 \ \Omega$, and the input resistance is $500 \ \Omega$. The ratio of power gain to voltage gain is .......

Given below are two statements:
Statement $I :$ $PN$ junction diodes can be used to function as a transistor,simply by connecting two diodes back-to-back,which acts as the base terminal.
Statement $II :$ In the study of transistors,the amplification factor $\beta$ indicates the ratio of the collector current to the base current.
In the light of the above statements,choose the correct answer from the options given below:

In a $NPN$ transistor,the collector current is $24 \, mA$. If $80\%$ of electrons reach the collector,what is the base current in $mA$?

If $X, Y$ and $Z$ are the sizes of the emitter,base and collector of a transistor respectively,then

$A$ transistor is used in an amplifier circuit in common emitter mode. If the base current changes by $100 \,\mu A$, it brings a change of $10 \,mA$ in collector current. If the load resistance is $2 \,k \Omega$ and input resistance is $1 \,k \Omega$, the value of power gain is $x \times 10^{4}$. The value of $x$ is . . . . . . .

Consider an amplifier circuit in which a transistor is used in common-emitter mode. The load resistance is $3 k \Omega$. When a signal of $30 mV$ is added to the base-emitter voltage, the base current changes by $30 \mu A$ and the collector current changes by $3 mA$. The power gain in this circuit will be: