Answer:
The answer is 8.64 light years.
Explanation:
The formula used for this is the light travel equations.
[tex]d=c*t\\[/tex]
where d = distance light travels in one year
c = speed of light
t = seconds in one year
now
[tex]d=3.0*10^8 * (365*24*60*60)\\d = 9.46*10^1^2 km\\9.46*10^1^5m[/tex]
Now we have calculated the distance light covers in one year and we have distance from Sirius star to earth which is given in the statement
[tex]distance=8.18*10^1^6m[/tex]
Dividing the distance of sirius from earth to the distance light travels in one year will give the time required for light to reach earth from Sirius .
[tex]=8.18*10^1^6/9.46*10^1^5\\=8.64[/tex]
Therefore, it will take 8.64 light years for a photon to reach us from Sirius.
