Statement I: For a given shell, the total number of allowed orbitals is given by . Statement II: For any subshell, the spatial orientation of the orbitals is given by

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Q.
Given below are two statements:

Statement I: For a given shell, the total number of allowed orbitals is given by $n^{2}$ .

Statement II: For any subshell, the spatial orientation of the orbitals is given by – $l$ to + $l$ values including zero.

In the light of the above statements, choose the correct answer from the options given below: [2025]

1 Both Statement I and Statement II are false

2 Both Statement I and Statement II are true

3 Statement I is false but Statement II is true

4 Statement I is true but Statement II is false

Ans.
(2)

Number of orbitals in a shell with principal quantum number $n$ is $n^{2}$ . Value of magnetic quantum number is from – $l$ to + $l$ including zero and each value of $m$ corresponds to a unique orientation of an orbital.

Solution

1 Both Statement I and Statement II are false

2 Both Statement I and Statement II are true

3 Statement I is false but Statement II is true

4 Statement I is true but Statement II is false

Ans.
(2)

Number of orbitals in a shell with principal quantum number $n$ is $n^{2}$ . Value of magnetic quantum number is from – $l$ to + $l$ including zero and each value of $m$ corresponds to a unique orientation of an orbital.

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Solution

1 Both Statement I and Statement II are false

2 Both Statement I and Statement II are true

3 Statement I is false but Statement II is true

4 Statement I is true but Statement II is false

Ans. (2) Number of orbitals in a shell with principal quantum number n is n2. Value of magnetic quantum number is from –l to +l including zero and each value of m corresponds to a unique orientation of an orbital.

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Ans.
(2)

Number of orbitals in a shell with principal quantum number $n$ is $n^{2}$ . Value of magnetic quantum number is from – $l$ to + $l$ including zero and each value of $m$ corresponds to a unique orientation of an orbital.