MCQEasyJEE 2023Quantum Numbers

JEE Chemistry 2023 Question with Solution

Maximum number of electrons that can be accommodated in shell with n=4n = 4 are:

  • A

    1616

  • B

    3232

  • C

    5050

  • D

    7272

Answer

Correct answer:B

Step-by-step solution

Standard Method

Given: shell with principal quantum number n=4n = 4.

Find: the maximum number of electrons that can be accommodated in this shell.

For n=4n = 4, the available subshells are 4s4s, 4p4p, 4d4d, and 4f4f.

Their maximum electron capacities are:

  • 4s=24s = 2
  • 4p=64p = 6
  • 4d=104d = 10
  • 4f=144f = 14

Adding them:

2+6+10+14=322 + 6 + 10 + 14 = 32

Therefore, the maximum number of electrons is 3232. The correct option is B.

The solution labels the option as C, but its working and final value give 3232, which matches option B.

Common mistakes

  • Counting only one subshell for n=4n = 4 is incorrect because a shell contains all allowed subshells for that principal quantum number. Include ss, pp, dd, and ff subshells for n=4n = 4.

  • Using the wrong subshell capacities leads to an incorrect total. Remember that the maximum electrons are 22 in ss, 66 in pp, 1010 in dd, and 1414 in ff.

  • Confusing shell capacity with the number of orbitals is incorrect. First identify orbitals or subshells properly, then convert to electrons using two electrons per orbital where applicable.

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