Question

Question 24

Part A

Each of the following sets of quantum numbers is supposed to specify an orbital. Choose the one set of quantum numbers that does not contain an error.

n = 3, l = 2, ml =+3

n = 4, l = 4, ml =0

n = 4, l = 0, ml =-1

n = 5, l = 3, ml =-3

n = 3, l = 1, ml = -2

Answer 1

The maximum value for orbital/azimuthal quantum no. (l) = n-1, and the values of 'l' range from (n-1) to zero(0), where 'n' is the principal quantum no.

The values of magnetic qunatum no. (m_l) range from '+l' to '-l'.

1^st set of qunatum no.s: n = 3, l = 2, m_l =+3

Here, m_l is not in the range of (+l, -l). Hence the above set of quantum no.s contain an error.

2nd set of quatntum no.s: n = 4, l = 4, m_l =0

Here, l > (n-1). Therefore, the above set of quantum no.s also contain an error.

3^rd set of quantum no.s: n = 4, l = 0, m_l =-1

Here, both the values of l and m_l are acceptable (with in their range). Hence, the above set doesn't contain an error.

4^th set of quantum no.s: n = 5, l = 3, m_l =-3

Here, both the values of l and m_l are acceptable (with in their range). Hence, the above set doesn't contain an error.

5^th set of quantum no.s: n = 3, l = 1, m_l = -2

Here, both the values of l and m_l are acceptable (with in their range). Hence, the above set doesn't contain an error.

In overall, the 3^rd, 4^th and 5^th sets of qunatum no.s do not contain errors.