The number of atomic orbitals from the following having 5 radial...

The number of radial nodes for an orbital with principal quantum number $n$ and azimuthal quantum number$l$ is given by the expression:

Number of radial nodes $= n - l - 1$

Using this expression, we can determine the number of radial nodes for each of the given atomic orbitals:

$7s: n = 7, l = 07 - 0 - 1 = 6$
$7p: n = 7, l = 17 - 1 - 1 = 5$
$6s: n = 6, l = 06 - 0 - 1 = 5$
$8p: n = 8, l = 18 - 1 - 1 = 6$
$8d: n = 8, l = 28 - 2 - 1 = 5$

Therefore, the atomic orbitals with $5$ radial nodes are $7p, 6s, and8d$.