if `lamda_(v'),lamda_(x)` and `lamda_(m)` represent the wavelengths of visible light X-rays and microwaves respectively then:

Options

A. `lambda_(m) gt lambda_(x) gt lambda_(v)`
B. `lambda_(v) gt lambda_(m) gt lambda_(x)`
C. `lambda_(v) gt lambda_(x) gt lambda_(m)`
D. `lambda_(m) gt lambda_(v) gt lambda_(x)`

Answer

To solve the problem, we need to analyze the relationship between the wavelengths of visible light (λ_v), X-rays (λ_x), and microwaves (λ_m) based on their positions in the electromagnetic spectrum.

### Step-by-step Solution:

1. **Understanding the Electromagnetic Spectrum**:
The electromagnetic spectrum is a range of all types of electromagnetic radiation, which are categorized by their wavelengths. The order of wavelengths from shortest to longest is as follows:
- Gamma rays
- X-rays
- Ultraviolet (UV) rays
- Visible light
- Infrared rays
- Microwaves
- Radio waves

2. **Identifying the Wavelengths**:
- λ_x (X-rays) has a shorter wavelength compared to visible light.
- λ_v (visible light) has a longer wavelength than X-rays but shorter than microwaves.
- λ_m (microwaves) has the longest wavelength among the three.

3. **Establishing Relationships**:
From the above understanding, we can establish the following relationships:
- λ_x < λ_v (X-rays have a shorter wavelength than visible light)
- λ_v < λ_m (Visible light has a shorter wavelength than microwaves)

4. **Combining the Relationships**:
We can combine these relationships to express them in one statement:
- λ_x < λ_v < λ_m

5. **Conclusion**:
Therefore, the correct order of wavelengths is:
- λ_m > λ_v > λ_x

### Final Answer:
The correct option is that λ_m (microwaves) is greater than λ_v (visible light), which is greater than λ_x (X-rays).