(i) Write the maximum number of electron in a subshell with l = 3 and

1.	(i) Write the maximum number of electron in a subshell with l = 3 and n = 4(ii) Write the maximum number of electron that can be associated with the following set of quantum numbers?n = 3, l = 1 and ml = -1(iii) Write the maximum number of electron that can be accommodated in an atom in which the highest principal quantum number value is 4.
Answer» (i) n = 4, l = 3 \(\therefore\) Sub shell is 4f for l = 3, m_l , −3, −2, −1, 0, +1, +2, +3 Each orbital has maximum two electrons. So, maximum number of electron in 4f sub shell is 14. (ii) n = 3, l = 1 and m_l = −1 According to this set of quantum numbers, the outermost subshell is 3p_x \(\therefore\) Electronic configuration is 1s² , 2s²2p⁶ , 3s²3p_x1 Thus, maximum number of electrons is 13. (iii) n = 4 Maximum number of electrons = 2n² = 2(4)² = 32

(i) Write the maximum number of electron in a subshell with l = 3 and n = 4(ii) Write the maximum number of electron that can be associated with the following set of quantum numbers?n = 3, l = 1 and ml = -1(iii) Write the maximum number of electron that can be accommodated in an atom in which the highest principal quantum number value is 4.

Answer»

(i) n = 4, l = 3

\(\therefore\) Sub shell is 4f

for l = 3, m_l , −3, −2, −1, 0, +1, +2, +3

Each orbital has maximum two electrons.

So, maximum number of electron in 4f sub shell is 14.

(ii) n = 3, l = 1 and m_l = −1

According to this set of quantum numbers, the outermost subshell is 3p_x

\(\therefore\) Electronic configuration is 1s² , 2s²2p⁶ , 3s²3p_x1

Thus, maximum number of electrons is 13.

(iii) n = 4

Maximum number of electrons

= 2n²

= 2(4)²

= 32