A new unit of length is chosen such that the speed of light in vacuum is unity. Then the distance between the sun and the earth in terms of the new unit, if light takes $$8$$ min and $$20$$ s to cover this distance?

Question

Infinity Learn · Accepted Answer

The speed of light in vacuum (c) $$=1$$ $$=(new$$  unit  of  length  s−$$1)Time$$ taken by light to reach the eartht $$=8$$ min $$+$$ $$20$$ $$s=$$ (8$$× $$60$$ $$+$$ $$20) s $$=$$ $$500s$$∴Distance between the sun and the $$earth=$$ Speed of light × Timex $$=$$ c ×$$t=1(new$$ unit  of  length  s−$$1)$$×$$500$$  $$s=500$$ new unit of length

A new unit of length is chosen such that the speed of light in vacuum is unity. Then the distance between the sun and the earth in terms of the new unit, if light takes 8 min and 20 s to cover this distance?

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