Question

2. In the 3-D cubic box potential energy of a state with quantum numbers 1. Dy ng
depends on
a) the sum of the quantum numbers.
b) the product of the quantum numbers.
c) the product of the squares of the quantum numbers.
d) the sum of the squares of the quantum numbers.​

Answer 1

Answer:

The product of the quantum numbers

Answer 2

Option (d) is the correct answer

The sum of the squares of the quantum numbers.​

In the 3-D cubic box potential energy of a state with quantum numbers 1. Dy ng depends on the sum of the squares of the quantum numbers.​

Explanation:

• In the 3-D cubic box potential energy of a state will depend upon the sum of the squares of the quantum numbers.
• For a degenerate state, It is the energy levels that have to be the same for different combinations of quantum numbers.
• It can be different quantum numbers that get their respective energy value which will be unequal.
• Thus, these levels are termed as non-degenerate energy states.
• It will depend on the sum of the squares of the quantum numbers.​