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Question

A new unit of length is chosen suchthat the speed of light in vacuum is unity. What is the distancebetween the Sun and the Earth in terms of the new unit if light takes8 min and 20 s to cover this distance?

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Solution

Distancebetween the Sun and the Earth:

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

Given thatin the new unit, speed of light = 1 unit

Timetaken, t = 8 min 20 s = 500 s

∴Distancebetween the Sun and the Earth = 1 × 500 = 500 units


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