Question

what is the correct representation for the subshell with n = 2 and l = 1? 2p 1p 1d 2d how many subshells are in the n = 4 shell?

Explanation:

Step1: Recall subshell naming rules

The principal quantum number \(n\) gives the shell number and the angular - momentum quantum number \(l\) determines the subshell type. When \(l = 0\), the subshell is \(s\); when \(l=1\), the subshell is \(p\); when \(l = 2\), the subshell is \(d\); when \(l=3\), the subshell is \(f\). The subshell is named as \(n\) followed by the letter corresponding to \(l\).

Step2: Identify the subshell for \(n = 2\) and \(l = 1\)

For \(n = 2\) and \(l = 1\), the subshell is \(2p\) since \(n=2\) and \(l = 1\) corresponds to \(p\) - type subshell.

Step3: Determine number of subshells in \(n = 4\) shell

The number of possible values of \(l\) for a given \(n\) is \(n\). For \(n = 4\), \(l\) can take values \(l=0,1,2,3\). Each value of \(l\) corresponds to a different subshell (\(s\), \(p\), \(d\), \(f\) respectively). So there are 4 subshells.

Answer:

The correct representation for the subshell with \(n = 2\) and \(l = 1\) is \(2p\). The number of subshells in the \(n = 4\) shell is 4.