Concept:
Different amplifiers are designed for different applications depending on the nature of the signal and the required output power.
To solve matching questions, identify the most common application of each amplifier type.
Step 1: Match Small Signal Amplifier.
A small signal amplifier is used to amplify very weak signals before further processing.
Examples include microphone and sensor signal amplification.
Therefore,
\[
\boxed{\text{Small Signal Amplifier} \rightarrow \text{Pre-Amplifier}}
\]
Hence,
\[
A \rightarrow III
\]
Step 2: Match DC Amplifier.
A DC amplifier is capable of amplifying signals down to zero frequency.
It is used whenever steady-state or slowly varying voltages need amplification.
Thus,
\[
\boxed{\text{DC Amplifier} \rightarrow \text{Amplify steady-state input voltage}}
\]
Hence,
\[
B \rightarrow I
\]
Step 3: Match Operational Amplifier.
Operational amplifiers are generally fabricated as integrated circuits.
Examples include ICs such as 741, LM324, LM358 etc.
Therefore,
\[
\boxed{\text{Operational Amplifier} \rightarrow \text{IC Amplifiers}}
\]
Hence,
\[
C \rightarrow IV
\]
Step 4: Match Power Amplifier.
Power amplifiers are designed to deliver large power to loads such as speakers and motors.
They are commonly known as large-signal amplifiers.
Thus,
\[
\boxed{\text{Power Amplifier} \rightarrow \text{Large Signal Amplifier}}
\]
Hence,
\[
D \rightarrow II
\]
Step 5: Write the complete matching.
Combining all matches,
\[
A \rightarrow III
\]
\[
B \rightarrow I
\]
\[
C \rightarrow IV
\]
\[
D \rightarrow II
\]
Therefore,
\[
\boxed{
A\!-\!III,\;
B\!-\!I,\;
C\!-\!IV,\;
D\!-\!II
}
\]
which corresponds to option (C).