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The maximum number of electrons in an or...

The maximum number of electrons in an orbital having same spin quantum number will be:

A

`l + 2`

B

`2 l + 1`

C

`l(l + 1)`

D

`sqrt(l(l + 1))`

Text Solution

Verified by Experts

The correct Answer is:
B
`p-"orbital" (l = 1)` can have three unpaired electrons , `d-"orbital" (l = 2)` can have five unpaired electrons.
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The maxium number of electrons in an orbital having same spin quantum number will be:

In any subshell, the maimum number of electrons having same value of spin quantum number is :

An electron in an atom can be completely designated with the help of four quantum numbers. Out of these, the first three i.e., principal (n), azimuthal (l) and magnetic (m) quantum number are obtained from the solution of Shrodinger wave equation while the spin(s) quantum number arises from the spin of the electron around its axis clockwise or antiaclockwise. Ot of these principal quantum number tells about the size, azimuthal quantum number about the shape and magnetic quantum signifies the orientation of the electron orbital. The maximum number of electrons in a subshell having the same value of spin quantum number is given by

The maximum number of 3d electrons having spin quantum number s = +(1)/(2) are

Spin angular momentum of an electron has no analogue in classical mechanics. Howerver, it turns out that the treatment of spin angular momentum is closely analogous to the treatment of orbital angular momentum Spin angular momentum =sqrt(s(s+1))h Orbital angular momentum =sqrt(l(l+1))h Total spin of ana tom or ion is a multiple of (1)/(2) . Spin multiplicity is a factor to confirm the electronic configuration of an atom or ion. Spin multiplicity =(2sums+1) Q. In any subshell, the maximum number of electrons having same value of spin quantum numbers is:

Maximum number of electrons in an orbital having n = 4 and l = 2 are :

The maximum number of 4d - electrons having spin quatum number s = + 1/2 are :

Assertion : The maximum number of electrons in the shell with principle quantum number n is equal to 2n^(2) . Reason : Two electrons can have the same value of three quantum numbers n, l and m_(l) , but must have the opposite spin quantum number.

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