Consider a photon of continuous X-ray and a photon of characteristic X-ray of the same wavelength. Which of the following is/are different for the two photons?

Options

A. Frequency
B. Energy
C. Penetrating power
D. Method of creation

Answer

To analyze the differences between a photon of continuous X-ray and a photon of characteristic X-ray of the same wavelength, we can break down the properties of these two types of X-rays step by step.

### Step-by-Step Solution:

1. **Understanding the Wavelength**:
- Both photons have the same wavelength, denoted as \( \lambda \). This is given in the problem statement.

2. **Calculating Frequency**:
- The frequency \( v \) of a photon is given by the formula:
\[ v = \frac{c}{\lambda} \]
- Since both photons have the same wavelength, their frequencies will also be the same:
\[ v_{\text{continuous}} = v_{\text{characteristic}} = \frac{c}{\lambda} \]

3. **Calculating Energy**:
- The energy \( E \) of a photon is given by the equation:
\[ E = hv \]
- Since the frequencies of both photons are the same, their energies will also be the same:
\[ E_{\text{continuous}} = E_{\text{characteristic}} = hv \]

4. **Penetrating Power**:
- The penetrating power of X-rays is generally related to their energy. Since both types of X-rays have the same energy, they will also have the same penetrating power.

5. **Method of Creation**:
- The method of creation for these two types of X-rays differs:
- **Characteristic X-rays** are produced when electrons transition between energy levels in an atom, emitting photons with specific energies.
- **Continuous X-rays** (or Bremsstrahlung radiation) are produced when high-energy electrons are decelerated upon interaction with matter, converting their kinetic energy into electromagnetic radiation.

### Conclusion:
- The only property that differs between a photon of continuous X-ray and a photon of characteristic X-ray of the same wavelength is the **method of creation**.

### Final Answer:
- The correct option is that the **method of creation** is different for the two photons.

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