question 2\n10 points\neach of the following sets of quantum numbers is supposed to specify an orbital…

question 2\n10 points\neach 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.\na n = 2, l = 2, ml =+1\nb n = 4, l = 3, ml =-2\nc n = 3, l = 2, ml =+3\nd n = 2, l = -1, ml =0\nquestion 3\n10 points

question 2\n10 points\neach 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.\na n = 2, l = 2, ml =+1\nb n = 4, l = 3, ml =-2\nc n = 3, l = 2, ml =+3\nd n = 2, l = -1, ml =0\nquestion 3\n10 points

Answer

Explanation:

Step1: Recall quantum - number rules

The principal quantum number (n) can take positive integer values ((n = 1,2,3,\cdots)). The angular - momentum quantum number (l) ranges from (0) to (n - 1). The magnetic quantum number (m_l) ranges from (-l) to (+l).

Step2: Analyze option A

For (n = 2), (l) can be (0) or (1) (since (l) ranges from (0) to (n - 1)). Here (l = 2) is incorrect as (2\geq2) is not allowed.

Step3: Analyze option B

For (n = 4), (l) can be (0,1,2,3) (because (l) ranges from (0) to (n - 1)). Since (l = 3) is within this range, and for (l = 3), (m_l) can range from (- 3) to (+3). Here (m_l=-2) is within the range (-l\leq m_l\leq l). So this set is correct.

Step4: Analyze option C

For (n = 3), (l) can be (0,1,2). Since (l = 2), (m_l) can range from (-2) to (+2). Here (m_l = + 3) is outside this range, so it is incorrect.

Step5: Analyze option D

The angular - momentum quantum number (l) cannot be negative. Here (l=-1) is incorrect.

Answer:

B. (n = 4, l = 3, m_l=-2)