Question

Can an electron have the quantum number values as n = 2, l = 2, $m_{l}$ = +2?

Answer 1

For any value of n, l can take any values from 0 to n-1 .

So, here n = 2, thus l = 0, 1 where 0 denotes the s-orbital and 1 denotes the p-orbital.  

Hence l cannot be 2 when n = 2 .

Using the formula for $m_{ l }\quad =\quad 2l\quad +\quad 1$

When l = 0, $m_{l}$takes only one 1 value, so m_{l} will take the value of 0 alone

When l = 1, $m_{l} = 2(1) + 1 = 3.$ So $m_{l}$ takes 3 values which are -1, 0, and +1.

Hence, m_{l} cannot have the value +2

Hence, an electron cannot have the quantum number values as l = 2 and $m_{l} = +2$ when n = 2.

Answer 2

Hey mate....

mi =+2_____when n=2