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It is estimated that light takes 10,000 years to travel the full distance across our galaxy. If light travels at 3.0 x 10^8m in 1 second then what is the distance across the milky way? Give your answer in standard form

Verified Answer :

rabinshrestha41

Given:
Time taken = 10,000 years
Now,
converting 10,000 years to seconds,
We have,
1 year = 365 days
          = (365 24) hours
          = (365 24 60) minutes
          = (365 24 60 60) seconds
          = 31536000 seconds
So,
Time taken = 10,000 years = (10000  31536000 seconds)
                                        = \(3.1536 * 10^{11} seconds\)
Also, according to the question,
speed = \(3.0* 10^{8} m\)

We know,
speed = distance / time taken
speed time taken = distance
\((3.0* 10^{8}) *3.1536 * 10^{11} = distance\)
\(9.4608* 10^{19} = distance\)
 
So, the distance across the milky way is \(9.4608* 10^{19}\) meters.

AL2006

In standard form and units of my choosing, the distance is 10,000 light-years.

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