What is the correct sequence of following electromagnetic radiation arranged in the increasing radiation in the increasing order of energy ?
1. X - rays
2. Visible light
3. `gamma` - rays
Select the correct answer using the codes given below

Options

A. 1,3,2
B. 1,2,3
C. 3,1,2
D. 2,1,3

Answer

To determine the correct sequence of electromagnetic radiation arranged in increasing order of energy, we need to understand the relationship between wavelength, frequency, and energy in the electromagnetic spectrum.

### Step-by-Step Solution:

1. **Understand the Electromagnetic Spectrum**:
The electromagnetic spectrum is arranged in the following order based on increasing wavelength (and decreasing energy):
- Gamma rays
- X-rays
- Ultraviolet (UV) rays
- Visible light
- Infrared (IR) rays
- Microwaves
- Radio waves

2. **Identify the Energy Relationship**:
The energy (E) of electromagnetic radiation is given by the formula:
\[ E = h \nu = \frac{hc}{\lambda} \]
where:
- \(E\) = energy
- \(h\) = Planck's constant
- \(\nu\) = frequency
- \(c\) = speed of light
- \(\lambda\) = wavelength

From this relationship, we can see that as the wavelength (\(\lambda\)) increases, the energy (E) decreases. Conversely, as the wavelength decreases, the energy increases.

3. **Arrange the Given Radiation**:
Now, let's arrange the given types of radiation based on their energy:
- **Visible Light**: This has the longest wavelength among the three listed, hence it has the least energy.
- **X-rays**: These have shorter wavelengths than visible light, thus they have higher energy than visible light.
- **Gamma Rays**: These have the shortest wavelengths and therefore the highest energy among the three.

4. **Final Sequence**:
Based on the above analysis, the increasing order of energy is:
- Visible Light (least energy)
- X-rays
- Gamma Rays (most energy)

Thus, the correct sequence in increasing order of energy is:
**Visible Light (2) < X-rays (1) < Gamma Rays (3)**

### Conclusion:
The correct answer is **2, 1, 3**.