Chapter 16, Problem 4STP

To determine

To Choose: The correct option.

Answer to Problem 4STP

C. $\text{1}\text{.4}\times {10}^8\text{km}$

Explanation of Solution

Given:

The time taken by the light to reach Earth from the Sun, $t=8.0\text{}\min =\left(8.0\times 60\right)\text{s}=480\text{s}$

Formula used:

  $\text{Distance}=\text{Speed}\times \text{Time}$

Calculation:

The speed of light is known as, $c=3\times {10}^8\text{}\text{m/s}$

Then, using the given values of time and speed of light, the distance between the Sun and the Earth will be,

  $\begin{array}{c}\text{Distance}=\left(\text{3}\times {10}^8\times \text{480}\right)\text{m}\\ \text{=1}\text{.44}\times {10}^{11}\text{m }\times \frac{1\text{}\text{km}}{1000\text{m}}\\ =\text{1}\text{.44}\times {10}^8\text{km}\end{array}$

Conclusion:

Hence, the distance between the Sun and the Earth is $\text{1}\text{.44}\times {10}^8\text{km}$ .