The total number of orbitals in any given energy level is __________.
The options are:
a) n2
b) 2n
c) 2n2
d) 2n + 1
e) 2n + 2
c) 2n2
The correct answer is c) 2n^2.
To determine the total number of orbitals in any given energy level, you need to use the formula 2n^2. Here, "n" represents the principal quantum number.
For example, if the energy level is n = 2, then the total number of orbitals would be 2(2)^2 = 2(4) = 8 orbitals.
To find the total number of orbitals in any given energy level, we can use the formula:
Total number of orbitals = 2 * (n^2)
Here, 'n' represents the principal quantum number, which determines the energy level of the orbital. Each energy level can have a maximum of 'n' orbitals, and each orbital can hold a maximum of 2 electrons. Therefore, the total number of orbitals in an energy level is given by 2 * (n^2).
Now, let's match this formula with the given options:
a) n2
This option is not correct as it is simply representing the square of 'n' rather than the total number of orbitals.
b) 2n
This option is not correct because it only denotes the number of orbitals for the first energy level (n=1), but doesn't account for higher energy levels.
c) 2n2
This option is correct as it represents the total number of orbitals in any given energy level.
d) 2n + 1
This option is not correct, as it suggests that the total number of orbitals is odd, which is not true for any given energy level.
e) 2n + 2
This option is not correct, as it suggests that the total number of orbitals is even, which is not true for any given energy level.
Based on the explanation above, the correct option is c) 2n2