If the distance between the sun and the earth is `1.5xx10^(11) m` and velocity of light is `3xx10^(8) m//s`, then the time taken by a light ray to reach the earth from the sun is

Options

A. 500 s
B. 500 minutes
C. 50 s
D. `5xx10^(3)s`

Explanation

To solve the problem of finding the time taken by a light ray to reach the Earth from the Sun, we will use the formula for distance, which is:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

We can rearrange this formula to solve for time:

\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

### Step-by-Step Solution:

1. **Identify the Given Values**:
- Distance between the Sun and the Earth, \( d = 1.5 \times 10^{11} \) meters.
- Speed of light, \( v = 3 \times 10^{8} \) meters/second.

2. **Substitute the Values into the Time Formula**:
\[ t = \frac{d}{v} = \frac{1.5 \times 10^{11} \text{ m}}{3 \times 10^{8} \text{ m/s}} \]

3. **Perform the Division**:
- First, divide the numerical coefficients:
\[ \frac{1.5}{3} = 0.5 \]
- Next, divide the powers of ten:
\[ \frac{10^{11}}{10^{8}} = 10^{11-8} = 10^{3} \]
- Combine the results:
\[ t = 0.5 \times 10^{3} \text{ seconds} \]

4. **Convert to Standard Form**:
\[ t = 500 \text{ seconds} \]

5. **Conclusion**:
The time taken by a light ray to reach the Earth from the Sun is **500 seconds**.