What is the hyper-conjugation? Which is the most stable among the following?
`CH_(3)overset(*)(CH_(2)),overset(*)((CH_(3))_(3))overset(*)(C), (CH_(3))_(2)overset(*)(C)H`

Explanation

When a sigma `C-H` bond of `sp^3` hybridised carbon is in conjugation with `pi` bond at p-orbital, half filled p-orbital or vacant p-orbital, then the bond pair `e^-` of sigma `C–H` bond overlap with adjacent p-orbital. This phenomena is called hyperconjugation. Hyperconjugation increases with the number of `alpha`-H
`(CH_(3))_(3)overset(*)(C)` Free radical will be most stable since it has the maximum number of alpha hydrogens.