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 earth in terms of the new unit if light takes 8 minutes and 20 seconds to cover this distance.

Answer 1

Hii dear,

# Answer - 500 m.

# Explaination-
Total time required to cover distance = 8 min 20 sec = 500 sec.
Also given that light travels at a speed of unity i.e. 1 m/s.

Hence,
Distance covered = speed × time
Distance covered = 1 × 500
Distance covered = 500 m.

Hence, according to new system of units, distance between sun and earth is 500m.

Hope that helped you.

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Answer 2

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Distance between the Sun and the Earth

= Speed of light × Time taken by light to cover the distance

Given that in the new unit, speed of light = 1 unit

Time taken, t = 8 min 20 s = 500 s

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

I hope, this will help you

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