Which of the following is not a characteristic of planck's quantum theory of radiation ?

Options

A. The energy is not absorbed or emitted in whole number multiple of a quantum
B. Electromagnetic radiation is associated with energy
C. Radiation energy is not emitted or absorbed continuously but in the form of small packets called photons
D. This magnitude of energy associated with a quantum is proportional to the frequency of radiation

Explanation

To determine which of the following is not a characteristic of Planck's quantum theory of radiation, we will analyze each option provided.

### Step-by-Step Solution:

1. **Understanding Planck's Quantum Theory**:
- Planck's quantum theory states that energy is emitted or absorbed in discrete units called "quanta" or "photons". This means that energy changes occur in specific amounts rather than continuously.

2. **Analyzing the Options**:
- **Option A**: "The energy is not absorbed or emitted in whole number multiples of quantum."
- This statement contradicts Planck's theory. According to Planck, energy is indeed absorbed or emitted in whole number multiples of a quantum (E = nhν, where n is an integer).
- **Conclusion**: This is **not** a characteristic of Planck's quantum theory.

- **Option B**: "Electromagnetic radiation is associated with energy."
- This statement is true. Planck's theory indicates that electromagnetic radiation carries energy.
- **Conclusion**: This is a characteristic of Planck's quantum theory.

- **Option C**: "Radiation is not emitted or absorbed continuously, but in the form of small packets called photons."
- This statement is also true. Planck's theory emphasizes that radiation is quantized and emitted in discrete packets (photons).
- **Conclusion**: This is a characteristic of Planck's quantum theory.

- **Option D**: "The magnitude of energy associated with the quantum is proportional to the frequency of radiation."
- This statement is true and aligns with Planck's equation (E = hν), where energy is directly proportional to frequency.
- **Conclusion**: This is a characteristic of Planck's quantum theory.

3. **Final Conclusion**:
- The option that is **not** a characteristic of Planck's quantum theory of radiation is **Option A**.

### Summary:
The correct answer is **Option A**: "The energy is not absorbed or emitted in whole number multiples of quantum."