The correct options are
A The number of orbitals in the shell is 25
B Maximum number of electrons in the 5f subshell is 14
D The maximum number of electrons in the shell is 50
Principal quantum number is denoted by 'n'.
Number of orbitals in the shell = n2
So, for n = 5, number of orbitals = 52 = 25
The maximum number of electrons in 5f subshell is given by 2(2l+1) where, l = azimuthal quantum number.
For 5f subshell, l = 3, maximum number of electrons = 2(2×3+1) = 14
Orbital angular momentum = h2π√l(l+1).
So, for l = 2 momentum will be h2π√6
Maximum number of electrons in a shell = 2n2
For n = 5, maximumnumber of elelctrons = 2(5)2 = 50