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A new system of units is established in which the speed of light in vacuum is chosen as unity. Express the distance between the sun and the earth in terms of the new unit of length if it is known that light takes 8 minutes and 20 seconds to reach earth from the sun.

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answer is C.

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Detailed Solution

Here,

Speed of light in vacuum, C = 1 new unit of length $s^{- 1}$

Time taken by light of sun to reach the earth

T = 8 min and 20 seconds = $(8 \times 60 + 20) s = 500 s$

Distance between the sun and the earth

S = ct = 1 new unit of length

$s^{- 1} \times 500 s$

= 500 new unit of length

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