Choose the correct option. If speed of gamma rays, X-rays and microwaves are `V_(g),V_(x)" and "V_(m)`.

Options

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

Explanation

To solve the question regarding the speeds of gamma rays, X-rays, and microwaves, we can follow these steps:

### Step 1: Understand the Nature of Electromagnetic Waves
All electromagnetic (EM) waves, regardless of their type (gamma rays, X-rays, microwaves, etc.), travel at the same speed in a vacuum. This speed is denoted by \( c \), which is approximately \( 3 \times 10^8 \) meters per second.

### Step 2: Define the Variables
Let:
- \( V_g \) = speed of gamma rays
- \( V_x \) = speed of X-rays
- \( V_m \) = speed of microwaves

### Step 3: Establish the Relationship
Since all EM waves travel at the same speed in a vacuum, we can write:
\[ V_g = V_x = V_m = c \]

### Step 4: Analyze the Options
The question provides options regarding the relationship between \( V_g \), \( V_x \), and \( V_m \). Based on our understanding from Step 3, we can conclude that:
- The speeds of gamma rays, X-rays, and microwaves are equal.

### Step 5: Conclusion
Thus, the correct option is that:
\[ V_g = V_x = V_m \]