Step 1: Recall the acidic nature of alcohols.
Alcohols behave as weak acids and can lose a proton to form alkoxide ions.
\[
ROH \rightleftharpoons RO^- + H^+
\]
The acidity of an alcohol depends on the stability of the corresponding alkoxide ion.
Step 2: Effect of alkyl groups on acidity.
Alkyl groups exhibit a \(+I\) (electron-releasing) effect.
This electron-donating effect increases the electron density on the oxygen atom of the alkoxide ion and destabilizes it.
As the number of alkyl groups attached to the carbon bearing the \(-OH\) group increases, the stability of the alkoxide ion decreases.
Therefore, acidity decreases.
Step 3: Compare the three alcohols.
For the primary alcohol \((i)\),
\[
RCH_2OH
\]
there is only one alkyl group exerting the \(+I\) effect. Hence, its alkoxide ion is relatively more stable.
For the secondary alcohol \((ii)\),
\[
R_2CHOH
\]
two alkyl groups exert the \(+I\) effect, reducing acidity.
For the tertiary alcohol \((iii)\),
\[
R_3COH
\]
three alkyl groups strongly donate electrons, making the alkoxide ion least stable and therefore least acidic.
Thus,
\[
\text{Primary alcohol} \gt \text{Secondary alcohol} \gt \text{Tertiary alcohol}
\]
Step 4: Final conclusion.
Hence, the correct order of acidic strength is
\[
\boxed{(i)\gt (ii)\gt (iii)}
\]
Therefore, the correct option is
\[
\boxed{(2)}
\]