X–ray does not show which of the following property

Options

A. Diffraction
B. Polarization
C. Longitudinal vibration
D. Transverse vibration

Explanation

To solve the question regarding which property X-rays do not exhibit, we can analyze the options given:

1. **Diffraction**
2. **Polarization**
3. **Longitudinal vibration**
4. **Transverse vibration**

### Step-by-Step Solution:

**Step 1: Understand the nature of X-rays**
- X-rays are a form of electromagnetic radiation, similar to visible light but with much higher energy and shorter wavelengths.

**Step 2: Analyze each property**
- **Diffraction:** X-rays can exhibit diffraction when they encounter obstacles or slits comparable in size to their wavelength. This is a property of waves, including X-rays.

- **Polarization:** Polarization refers to the orientation of the oscillations in a wave. While light waves can be polarized, X-rays can also exhibit polarization under certain conditions, particularly when scattered.

- **Longitudinal vibration:** This type of vibration involves oscillations in the direction of the wave's propagation. X-rays, being electromagnetic waves, do not exhibit longitudinal vibrations; they are transverse waves.

- **Transverse vibration:** X-rays are transverse waves, meaning the oscillations are perpendicular to the direction of wave propagation.

**Step 3: Identify the property that X-rays do not show**
- From the analysis above, we see that X-rays do not exhibit longitudinal vibration, as they are transverse waves.

### Conclusion:
The property that X-rays do not show is **longitudinal vibration**.

### Final Answer:
**Longitudinal vibration (Option 3)**

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