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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 this new unit, if light takes 8 min and 20 sec to cover this distance?
  • a)
    500
  • b)
    300
  • c)
    200
  • d)
    100
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A new unit of length is chosen such that the speed of light in vacuum ...
The speed of light in vacuum (c) = 1 (new unit of length s–1)
Time taken by light to reach the earth
t = 8 min + 20 s
= (8 × 60 + 20) s = 500 s
∴ Distance between the sun and the earth = Speed of light × Time
x = c × t 
= 1 (new unit of length s–1) × 500 s
= 500 new unit of length
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Community Answer
A new unit of length is chosen such that the speed of light in vacuum ...
Given data:
- Time taken for light to travel from the sun to the earth = 8 min 20 sec

Conversion:
- The speed of light in vacuum is set to 1 in the new unit of length

Calculations:
- Speed of light = Distance / Time
- Distance = Speed of light * Time
- Converting time to seconds: 8 min 20 sec = 8 * 60 + 20 = 500 seconds
- Distance = 1 * 500 = 500 units
Therefore, the distance between the sun and the earth in terms of the new unit of length where the speed of light is set to 1 is 500 units. Hence, the correct answer is option A.
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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 this new unit, if light takes 8 minand 20 secto cover this distance?a)500b)300c)200d)100Correct answer is option 'A'. Can you explain this answer?
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