Question

a new unit of length is chosen such that the speed of light in vacuum is unity what is the distance between sun and earth in terms of new unit of a flight takes 8 minutes and 20 seconds to cover this distance

Answer 1

150 million km which is equal to 1 astronomical unit. 63241.077 astronomical unit is equal to 1 light year. 1 light year equal to the total distance travelled by light in 1 year.

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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