Arrange the following carbocations in increasing order of stability and mention basis of the order suggested.
(i) `overset(o+)(C)H_(3)" "`(ii) `CH_(3)overset(o+)(C)H_(2)" "`(iii) `CH_(3)overset(o+)(C)HCH_(3)" "`(iv) `CH_(3)-underset(CH_(3))underset(|)overset(o+)(C)-CH_(3)`

Explanation

To arrange the given carbocations in increasing order of stability, we need to analyze each carbocation based on the concepts of inductive effect and hyperconjugation. The stability of carbocations is influenced by the number of alkyl groups attached to the positively charged carbon, as well as the presence of alpha hydrogens that can participate in hyperconjugation.

### Step-by-step Solution:

1. **Identify the Carbocations:**
- (i) \( \overset{+}{C}H_3 \) (Methyl carbocation)
- (ii) \( CH_3\overset{+}{C}H_2 \) (Ethyl carbocation)
- (iii) \( CH_3\overset{+}{C}HCH_3 \) (Isopropyl carbocation)
...