Question

What will be the value of the total quantum number (j) if S=+1/2 and l=2?

a) j=−1/2
b) j=1/2
c) j=3/2
d) j=−3/2

Answer 1

The value of the total quantum number (j) when S = +1/2 and l = 2 is j = 3/2.

Step-by-step explanation:

The total quantum number (j) can be determined using the values of the orbital quantum number (l) and the spin quantum number (s). The formula to calculate j is j = |l - s| through |l + s|. In this case, l = 2 and s = +1/2. Plugging these values into the formula, we get j = |2 - 1/2| through |2 + 1/2|. Simplifying, we find that j = 3/2. Therefore, the correct answer is c) j = 3/2.