A new unit of length is chosen such that it is equal to the speed of light in vacuum

Question

A new unit $(α)$ 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 $α$ units if light takes 6 min 40 s to cover this distance? [2026]

Smart Achievers · Accepted Answer

(2)

$α = 3 \times 10^{8} m$

$6 min 40 sec = 6 \times 60 + 40 = 400 sec$

${Distance=(400)×3×10}^{8} m = 400 α$

Solution

Q.
A new unit $(α)$ 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 $α$ units if light takes 6 min 40 s to cover this distance [2026]

1 200 $α$

2 400 $α$

3 300 $α$

4 500 $α$

Ans.
(2)

$α = 3 \times 10^{8} m$

$6 min 40 sec = 6 \times 60 + 40 = 400 sec$

${Distance=(400)×3×10}^{8} m = 400 α$

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Solution

Q. A new unit (α) 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 α units if light takes 6 min 40 s to cover this distance [2026]

1 200 α

2 400 α

3 300 α

4 500 α

Ans. (2) α=3×108 m 6 min 40 sec=6×60+40=400 sec Distance=(400)×3×108 m=400α