Ncert Exercises & Solutions

A new unit of length is chosen such that the speed of light in a vacuum is unity. What is the distance between the Sun and the Earth in terms of the new unit if light takes \(8~\text{min}\) and \(20~\text{s}\) to cover this distance?
1. \(125\)
2. \(250\)
3. \(350\)
4. \(500\)

According to the problem, speed of light in vacuum, c = 1 new unit of length.
Time is taken by light to cover the distance between the sun and the earth.
t = 8 min 20 s = 500 s.
So, the distance between the sun and earth
= c x t

= 1 new unit of length x 500 s
= 500 new units of length.

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