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Question

The number of orbitals associated with quantum number n=5, ms=+12 is :


A

11

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B

15

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C

25

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D

50

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Solution

The correct option is C

25


The explanation for the correct option:

(C): 25

Principle Quantum Number:

  • The fundamental quantum number, or "n" has the values 1,2,3,andsoon.
  • The primary quantum number reveals the orbital's size and energy.
  • One atom's shell is present in each of the orbitals of the number "n".

Number of orbitals associated with quantum number, n=5 and ms=+12:

Given:

  • n=5 and magnetic spin number, ms=+12
  • To find the number of subshells that are involved in it, Azimuthal quantum number's expression is used:
  • l=n-1
  • putting the value value of principle quantum number in above expression:
  • l=(5-1)=4
  • Hence the possible sub-shells for n=5 are: 5s,5p,5d,5fand5g.
  • The number of orbitals each would have, be 1,3,5,7,9 respectively and the total sum of these numbers is25.

Final Answer: Therefore, Option C is the correct option.


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