The shortest wavelength is for -

Options

A. `gamma-` rays
B. X-rays
C. Ultraviolet rays
D. Microwaves

Explanation

To determine which electromagnetic wave has the shortest wavelength, we can analyze the electromagnetic spectrum. The electromagnetic spectrum is typically arranged in order of increasing frequency and decreasing wavelength.

### Step-by-Step Solution:

1. **Understanding the Electromagnetic Spectrum**: The electromagnetic spectrum consists of various types of waves, including gamma rays, X-rays, ultraviolet (UV) rays, visible light, infrared (IR), microwaves, and radio waves.

2. **Order of Wavelengths**: In the electromagnetic spectrum, the order from shortest wavelength to longest wavelength is as follows:
- Gamma rays
- X-rays
- Ultraviolet (UV) rays
- Visible light
- Infrared (IR)
- Microwaves
- Radio waves

3. **Relationship Between Frequency and Wavelength**: The frequency (f) and wavelength (λ) of electromagnetic waves are inversely related, as described by the equation:
\[ c = f \cdot \lambda \]
where \(c\) is the speed of light in a vacuum. This means that as the frequency increases, the wavelength decreases.

4. **Identifying the Shortest Wavelength**: Since gamma rays are at the high-frequency end of the spectrum, they correspond to the shortest wavelengths. Therefore, among the listed types of electromagnetic waves, gamma rays have the shortest wavelength.

5. **Conclusion**: The answer to the question is that the shortest wavelength is found in gamma rays.

### Final Answer:
The shortest wavelength is for **gamma rays**.

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