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Question

Which of the following options is/are correct for a shell having principal quantum number n = 5?
  1. The number of orbitals in the shell is 25 
  2. Maximum number of electrons in the 5f subshell is 14
  3. Orbital angular momentum of the electron in the 5d subshell is h52π
  4. The maximum number of electrons in the shell is 50


Solution

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 = h2πl(l+1).
So, for l = 2 momentum will be h2π6

Maximum number of electrons in a shell = 2n2
For n = 5, maximumnumber of elelctrons = 2(5)2 = 50

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