The increasing order of stability of the following free radicals is:

Options

A. `(CH_(3))_(2)overset(cdot)CHlt(CH_(3))_(3)overset(cdot)Clt(C_(6)H_(5))_(2)overset(cdot)CHlt(C_(6)H_(5))_(3)overset(cdot)C`
B. `(C_(6)H_(5))_(3)overset(cdot)Clt(C_(6)H_(5))_(2)overset(cdot)CHlt(CH_(3))_(3)overset(cdot)Clt(CH_(3))_(2)overset(cdot)CH`
C. `(C_(6)H_(5))_(2)overset(cdot)CHlt(C_(6)H_(5))_(3)overset(cdot)Clt(CH_(3))_(3)overset(cdot)Clt(CH_(3))_(2)overset(cdot)CH`
D. `(CH_(3))_(2)overset(cdot)CHlt(CH_(3))_(3)overset(cdot)Clt(C_(6)H_(5))_(3)overset(cdot)Clt(C_(6)H_(5))_(2)overset(cdot)CH`

Answer

A

Explanation

More the number of phenyl groups, greater is the stabilization due to resonance, therefore, `(C_(6)H_(5))_(3)overset(cdot)C` is more stable than `(C_(6)H_(5))overset(cdot)CH.` Further, more the number of methyl groups, more is the number of hyperconjugation structures and hence more stable is the radical, i.e., `(CH_(3))_(3)overset(cdot)C`. is more stable than `(CH_(3))_(2)overset(cdot)CH.` Hence option (A) is correct