Assume a Planck oscillator has the following energy, [tex]\(5hf\)[/tex]. Which of the following represents a lower possible energy of this oscillator?

A. [tex]\(4.5hf\)[/tex]
B. [tex]\(2hf\)[/tex]
C. [tex]\(1.5hf\)[/tex]
D. [tex]\(0.5hf\)[/tex]
E. All of the above



Answer :

To solve this problem, let's analyze the possible lower energy values for the Planck oscillator.

The current energy of the oscillator is 5hf. We need to determine which of the following energy values are possible lower energy states for the oscillator:
- 4.5hf
- 2hf
- 1.5hf
- 0.5hf

To be considered a possible lower energy state, these values should be less than 5hf.

Let's check each one:

1. 4.5hf:
- 4.5hf is less than 5hf. Therefore, 4.5hf is a possible lower energy state.

2. 2hf:
- 2hf is less than 5hf. Therefore, 2hf is a possible lower energy state.

3. 1.5hf:
- 1.5hf is less than 5hf. Therefore, 1.5hf is a possible lower energy state.

4. 0.5hf:
- 0.5hf is less than 5hf. Therefore, 0.5hf is a possible lower energy state.

Given that all of these values are less than 5hf, they are all possible lower energy states for the oscillator. Thus, the correct answer is:

All of the above