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 20 sec to cover this distance?

300

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400

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500

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600

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Solution

The correct option is D 500
Given that
The speed of light in a vacuum is unity
And we want to find the distance between the Sun and the Earth
We know that

$D i s t a n c e = s p e e d \times t i m e$

Speed is unity = 1 unit /sec

$T i m e = 8 m i n a n d 20 s e c = 8 \times 60 + 20 s e c = 500 s e c$

Plug the values we get

Distance between Sun and Earth $= 1 \times 500 = 500 u n i t s$

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