1 `J//s` is equivalent to `n erg//s` where n is

Options

A. `10^(5)`
B. `10^(7)`
C. `10^(6)`
D. `10^(-7)`

Answer

To solve the problem of converting `1 J/s` to `n erg/s`, we need to understand the relationship between joules and ergs, and how they relate to power. Let's break this down step by step.

### Step-by-Step Solution:

1. **Understanding the Units**:
- We know that `1 Joule (J)` is a unit of energy, and `1 Joule per second (J/s)` is a unit of power.
- We need to convert `J/s` to `erg/s`.

2. **Conversion Factor**:
- The relationship between joules and ergs is:
\[ 1 \text{ Joule} = 10^7 \text{ ergs} \]
- This means that for every joule, there are \(10^7\) ergs.

3. **Calculating Power in Ergs**:
- Since `1 J/s` is equivalent to `1 Joule per second`, we can convert this to ergs:
\[ 1 \text{ J/s} = 1 \text{ Joule/s} = 10^7 \text{ ergs/s} \]

4. **Finding n**:
- From the conversion, we can see that:
\[ n = 10^7 \]

### Conclusion:
Thus, `1 J/s` is equivalent to `10^7 erg/s`. Therefore, the value of `n` is \(10^7\).