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Question 26

A new unit ($$\alpha$$) of length is chosen such that it is equal to the speed of light in vacuum. What is the distance between Venus and Earth in terms of $$\alpha$$ units if light takes 6 min. 40 s to cover this distance?

Given:

new unit of length α = speed of light c

so,

1 α = c (m)

distance between Earth and Venus:

distance = speed × time = c × t

time:

6 min 40 s = 6×60 + 40 = 400 s

distance:

= c × 400

but since 1 α = c,

distance = 400 α

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