  Question

# Which of the following options is/are correct for a shell having principal quantum number n = 5?The number of orbitals in the shell is 25 Maximum number of electrons in the 5f subshell is 14Orbital angular momentum of the electron in the 5d subshell is h√52πThe 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 50Principal 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  Suggest corrections   