Question

A new unit of length is chosen that the speedof light in vaccum is unity.calculate the distance between sun and the earth if the light takes 8min 20 sec to reach earth from sun

Answer 1

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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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Answer 2

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 in terms of the new unit if light takes 8 min and 20s to cover this distance.

Answer:-

Speed of light = 1 new unit ,

Time taken = 8 min + 20s

‎ ‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎= 480s + 20s

‎ ‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎= 500s

Now,

‎ ‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎D = S/T

‎ ‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎ ‎‎‎‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎ ‎S*T = D

‎ ‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎1 new unit/sec * 500s = D

‎ ‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎D = 500 new unit

Therefore, The distance between sun and earth is 500 new unit.