Calculate the power produced by light if Intensity is 8 W`m^(-2)` and the area covered by light is `2 m^2`?

Options

A. 16 W
B. 44 W
C. 6.5 W
D. 56 W

Explanation

To solve the problem of calculating the power produced by light given the intensity and area, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between power, intensity, and area**:
The power (P) produced by light can be calculated using the formula:
\[ P = I \times A \]
where \( P \) is the power in watts, \( I \) is the intensity in watts per square meter (W/m²), and \( A \) is the area in square meters (m²).

2. **Identify the given values**:
From the problem, we have:
- Intensity \( I = 8 \, \text{W/m}^2 \)
- Area \( A = 2 \, \text{m}^2 \)

3. **Substitute the values into the formula**:
Now, we can substitute the given values into the power formula:
\[ P = 8 \, \text{W/m}^2 \times 2 \, \text{m}^2 \]

4. **Calculate the power**:
Performing the multiplication:
\[ P = 16 \, \text{W} \]

5. **Conclusion**:
The power produced by light is \( 16 \, \text{W} \).

### Final Answer:
The power produced by light is **16 watts**.