Question

Assertion : Number of orbitals in 3rd shell is 9.

Reason: Number of orbitals for a particular value of n = n²

a) Assertion and reason both are correct statements and reason is correct explanation for. Option 2
b) Assertion and reason both arecorrect statements but reason is not correct explanation for assertion.
c) Assertion is correct statement but reason is wrong statement.
d) Assertion is wrong statement but reason is correct statement.​

Answer 1

The number of orbitals in the 3rd shell is 9, based on the correct principle that the number of orbitals for a given principal quantum number n is n². This gives us 3² = 9 for the 3rd shell.

Step-by-step explanation:

The student has asked about the number of orbitals in the 3rd shell and the relation of the number of orbitals to the principal quantum number n. The assertion that the number of orbitals in the 3rd shell is 9 is incorrect while the reason provided, which states that the number of orbitals for a particular value of n is n², is a correct statement. Therefore, the correct number of orbitals for the n=3 shell is calculated as 3², which equals 9.

Step-by-step explanation:

In quantum mechanics, the principal quantum number n determines the energy level or shell, and the total number of orbitals within that shell is given by n². For the 3rd shell where n = 3, this results in 3² = 9 orbitals. These orbitals are divided into subshells: the 3s subshell with 1 orbital, the 3p subshell with 3 orbitals, and the 3d subshell with 5 orbitals, summing up to a total of 9 orbitals in the 3rd shell.