The number of radial nodes for an orbital with principal quantum number n and azimuthal quantum numberl 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.