Question

How many electrons will be present in the sub-shells having ms value of - ½ for n = 4?

Answer 1

Answer:

8electron.................................

Answer 2

The number of electrons present in the sub-shells having ms value of - ½ for n = 4 is, 16 electrons.

Explanation :

Principle Quantum Numbers : It describes the size of the orbital. It is represented by n. n = 1,2,3,4....

Azimuthal Quantum Number : It describes the shape of the orbital. It is represented as 'l'. The value of l ranges from 0 to (n-1). For l = 0,1,2,3... the orbitals are s, p, d, f...

Magnetic Quantum Number : It describes the orientation of the orbitals. It is represented as $m_l$. The value of this quantum number ranges from $(-l\text{ to }+l)$. When l = 2, the value of

Spin Quantum number : It describes the direction of electron spin. This is represented as $m_s$. The value of this is $+\frac{1}{2}$ for upward spin and $-\frac{1}{2}$ for downward spin.

The general formula of for the 'nth' shell will be : 2n². Where 'n' is the number of shell.

As we are given that :

n = 4

So, the number of electrons present in sub-shell are = $2n^2=2\times (4)^2=2\times 16=32$

Total number of electrons are, 32 for $m_s$ value of $+\frac{1}{2}$ and $-\frac{1}{2}$

For $m_s$ value of $-\frac{1}{2}$:

Number of electrons = $\frac{32}{2}=16$

Thus, the number of electrons present in the sub-shells having ms value of - ½ for n = 4 is, 16 electrons.

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