The shortest wavelength is for

Options

A. X-rays
B. `gamma`-rays
C. Microwaves
D. Radio waves

Answer

To determine which type of electromagnetic wave has the shortest wavelength, we can follow these steps:

### Step 1: Understand the Electromagnetic Spectrum
The electromagnetic spectrum consists of various types of waves arranged in order of increasing frequency and decreasing wavelength. The common categories include:
- Radio Waves
- Microwaves
- Infrared
- Visible Light
- Ultraviolet (UV)
- X-rays
- Gamma Rays

### Step 2: Recognize the Relationship Between Wavelength, Frequency, and Energy
In the electromagnetic spectrum, the relationship between wavelength (λ), frequency (ν), and energy (E) is given by the following equations:
- \( c = λν \) (where c is the speed of light)
- \( E = hν \) (where h is Planck's constant)

From these equations, we can conclude:
- As frequency increases, wavelength decreases.
- As energy increases, frequency increases, which also means wavelength decreases.

### Step 3: Identify the Order of Wavelengths
From the spectrum, we can arrange the types of waves from longest wavelength to shortest wavelength:
1. Radio Waves (longest wavelength)
2. Microwaves
3. Infrared
4. Visible Light
5. Ultraviolet (UV)
6. X-rays
7. Gamma Rays (shortest wavelength)

### Step 4: Determine the Shortest Wavelength
From the arrangement above, we can see that gamma rays have the shortest wavelength among all the types of electromagnetic waves listed.

### Conclusion
Thus, the type of electromagnetic wave with the shortest wavelength is **Gamma Rays**.

### Final Answer
**Gamma Rays** have the shortest wavelength.

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