Question

A new unit of lenght is so chosen that the speed of the light in vacuum is unity.what is the distance between sun and the earth if light takes 8min and 20second to reach the earth from the sun?

Answer 1

speed of light in new unit = 1 unit distance/s
speed of light in m/s = 3 X 10^8 m/s

dividing the equations we get :
1 unit distance = 3x 10^8m

distance between sun and earth =
speed of light X time
= 3x10^8 m/s X ((8x60) +20) sec
= (3 x 10^8 m) X 500
= 1 unit distance X 500
= 500 unit distance

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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