Question

The value of an electron spinning in clockwise direction is _______ and for an anti-clockwise direction is ________.

Answer 1

Hint: Generally the spin quantum number has 2 values in which one is in positive magnitude and other is in magnitude and both cancel each other in a particular orbital because only 2 electrons are possible in an orbital

Complete step by step answer:
In the question asked, it is also called a spin quantum number and before directly proceeding to the answer let us quickly know about these quantum numbers and then conclude the final answer.
Generally, 4 quantum numbers are there which are Principal quantum number represented by, Angular quantum number represented by, Magnetic quantum number represented by, and then spin quantum number represented by.
All of these quantum numbers represent something about the electron or atom or shell or its orbit. The spin quantum number tells about the angular momentum of the electron present.
Since we know that an electron revolves around the nucleus so a revolving electron has both angular momentum as well as orbital angular momentum and we also know that angular momentum is a vector quantity so the spin quantum number will have its direction as well as its magnitude.
This is the reason spin quantum numbers have signs like positive or negative.
Now if an electron is revolving in a clockwise manner then its spin quantum number is considered as $ + \dfrac{1}{2}$ and whereas if electron revolving is in anti-clockwise manner, the its spin quantum number is considered as $ - \dfrac{1}{2}$ .
So, the answer is $ + \dfrac{1}{2}$ for clockwise and $ - \dfrac{1}{2}$ for anti-clockwise.

Note:
The quantum numbers are an important concept describing the identity of an atom and no two atoms will have the same quantum numbers. These have some basic values and these values only describe a lot about the identity. So, this concept is important to know which will also help in answering similar questions easily.