`lamda_v , lamda_x , lamda_m `represent wave lengths of visible light, X-ray and microwaves then:

Options

A. `lamda _m gt lamda_x gt lamda _v`
B. `lamda_v gt lamda_m gt lamda_x `
C. `lamda _m gt lamda _x gt lamda_m`
D. `lamda_m gt lamda_v gt lamda_x`

Answer

To solve the problem regarding the wavelengths of visible light (λ_v), X-rays (λ_x), and microwaves (λ_m), we need to understand the relationship between wavelength and frequency in the electromagnetic spectrum. Here's the step-by-step solution:

### Step 1: Understand the Electromagnetic Spectrum
The electromagnetic spectrum is arranged in order of increasing frequency and decreasing wavelength. The order is as follows:
- Radio Waves
- Microwaves
- Infrared
- Visible Light
- Ultraviolet
- X-rays
- Gamma Rays

### Step 2: Identify the Wavelengths
From the arrangement in the electromagnetic spectrum:
- **Microwaves** have longer wavelengths than visible light.
- **Visible Light** has longer wavelengths than X-rays.

### Step 3: Compare the Wavelengths
Based on the above understanding:
- λ_m (Microwaves) > λ_v (Visible Light) > λ_x (X-rays)

This means:
- λ_m > λ_v > λ_x

### Conclusion
Thus, the correct relationship among the wavelengths is:
- Microwaves (λ_m) have the longest wavelength,
- Followed by Visible Light (λ_v),
- And X-rays (λ_x) have the shortest wavelength.

### Final Answer
The correct order is:
λ_m > λ_v > λ_x

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