If `V_(g)`,`V_(x)` and `V_(m)` are the speeds of gamma rays, x-rays and microwaves respectively in vacuum then

Options

A. `v_(g)ltv_(x)ltv_(m)`
B. `v_(g)gtv_(x)gtv_(m)`
C. `v_(g)gtv_(x)gtv_(m)`
D. `v_(g)=v_(x)=v_(m)`

Answer

To solve the problem regarding the speeds of gamma rays, x-rays, and microwaves in vacuum, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Electromagnetic Waves**:
- Gamma rays, x-rays, and microwaves are all types of electromagnetic (EM) waves.

2. **Speed of EM Waves in Vacuum**:
- The speed of all electromagnetic waves in a vacuum is the same and is denoted by \( c \). This speed is approximately \( 3 \times 10^8 \) meters per second.

3. **Identifying the Speeds**:
- Given the speeds:
- \( V_g \) = speed of gamma rays
- \( V_x \) = speed of x-rays
- \( V_m \) = speed of microwaves
- According to the properties of EM waves, we have:
\[ V_g = c, \quad V_x = c, \quad V_m = c \]

4. **Conclusion**:
- Since all three speeds are equal to \( c \), we can conclude that:
\[ V_g = V_x = V_m \]
- Therefore, there is no order of speed among them as they all travel at the same speed in a vacuum.

5. **Final Answer**:
- The order of speeds is:
\[ V_g = V_x = V_m \]