A new unit of length is chosen such that the speed of light in vacuum is unity. What is the distance between the sun and the earth in terms of the new unit if light takes 8 min and 20 s to cover this distance

Explanation

To solve the problem, we need to find the distance between the Sun and the Earth in a new unit of length where the speed of light is defined as unity (1 unit per second). The light takes 8 minutes and 20 seconds to travel this distance.

### Step-by-Step Solution:

1. **Convert Time to Seconds:**
- First, we need to convert the time taken by light from minutes and seconds to just seconds.
- The time given is 8 minutes and 20 seconds.
- We know that 1 minute = 60 seconds.
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