Question

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 I terms of new unit if light takes 8min and 20 seconds to cover this distance?

Answer 1

Given that

The speed of light in vacuum is unity


And we want to find the distance between the Sun and the Earth

Use formula

Distance = speed  × time

Speed is unity = 1 unit /sec

Time = 8 min and 20 sec   = 8 × 60 + 20 sec = 500 sec

Plug the values we get


Distance between Sun and Earth = 1× 500 = 500 units

Answer 2

Answer:

Explanation:

Solution,

Here, we have

Speed of light in vacuum is unity,

Speed of light = 1 unit

Time taken = t = 8 min 20 s

8 × 60 + 20 = 480 + 20 = 500 s

To Find,

Distance between the Sun and the Earth,

Here, we know that,

Distance between the Sun and the Earth = Speed of light × Time taken by light to cover the distance.

So, putting all the values, we get

⇒ Distance between the Sun and the Earth = 1 × 500

⇒ Distance between the Sun and the Earth = 500 units

Hence, Distance between the Sun and the Earth is 500 units.