What is the ratio of the speed of gamma rays to that of radio waves in vacuum?

Answer

To find the ratio of the speed of gamma rays to that of radio waves in a vacuum, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Nature of Gamma Rays and Radio Waves**:
- Both gamma rays and radio waves are types of electromagnetic waves.

2. **Speed of Electromagnetic Waves**:
- In a vacuum, all electromagnetic waves travel at the same speed, which is the speed of light (denoted as \( c \)).

3. **Value of the Speed of Light**:
- The speed of light in a vacuum is approximately \( c = 3 \times 10^8 \) meters per second.

4. **Speed of Gamma Rays**:
- Since gamma rays are electromagnetic waves, their speed in a vacuum is also \( c = 3 \times 10^8 \) meters per second.

5. **Speed of Radio Waves**:
- Similarly, the speed of radio waves in a vacuum is also \( c = 3 \times 10^8 \) meters per second.

6. **Calculate the Ratio**:
- The ratio of the speed of gamma rays to the speed of radio waves can be expressed as:
\[ \text{Ratio} = \frac{\text{Speed of Gamma Rays}}{\text{Speed of Radio Waves}} = \frac{c}{c} \]

7. **Simplify the Ratio**:
- Since both speeds are equal, the ratio simplifies to:
\[ \text{Ratio} = 1 \]

### Final Answer:
The ratio of the speed of gamma rays to that of radio waves in vacuum is \( 1 \).

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