Question

What are the total no. of electrons in an atom with the following Quantum Numbers :-

→ n = 4

→ |m| = 1

→ s = -1/2

JEE Advanced 2014

easy tho xD ​

Answer 1

Answer:

Explanation:

What are the total no. of electrons in an atom with the following Quantum Numbers :-

→ n = 4

→ |m| = 1

→ s = -1/2

JEE Advanced 2014

easy tho xD ​

Answer 2

S O L U T I O N

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_lm

The value of this quantum number ranges from $\tt(-l\text{ to }+l)(−l to +l)$. When l = 2, the value of m_lm

Spin Quantum number : It describes the direction of electron spin. This is represented as m_sm

The value of this is $\bold +\frac{1}{2}$ for upward spin and $\bold -\frac{1}{2}$ for downward spin.

As we are given that,

$\sf n=4,m_l=1,m_s=+\frac{1}{2}$

So,

$\bf l=1,2,3l=1,2,3$

$\bf For\: l = 0, m_l=0m$

$\bf For\: l = 1, m_l=-1,0,+1m$

$\bf For \:l = 2, m_l=-2,-1,0,+1,+2m$

$\bf For \:l = 3, m_l=-3,-2,-1,0,+1,+2,+3m$

$\bf m_s=+\frac{1}{2}$

(For each sub-shell)

From this we conclude that, there are 3 orbitals and each orbital contains 1 electrons. So, the number of electrons are, $\bf 3\times 1=33×1=3$ electrons.

$\sf Hence,\: the \:number\: of\: electrons \:in\: an\: atom \:can\: be,\: 3 \:electrons$