Answer : Time taken for the light to reach earth is [tex]3.7\times 10^4\ Hours[/tex]
Explanation :
Given that,
Speed of Ultraviolet light, [tex]v = 3\times 10^8\ m/s[/tex]
Distance covered by the light, [tex]d = 4\times 10^{13}\ km=4\times 10^{16}\ km[/tex]
We have to find the time taken (t) by the light to reach on the surface of earth.
[tex]t=\dfrac{d}{v}[/tex]
[tex]t=\dfrac{4\times 10^{16}\ km}{3\times 10^8\ m/s}[/tex]
t = 133333333.333 seconds
[tex]t=37037.03[/tex]
or
[tex]t=3.7\times 10^4\ Hours[/tex]
Hence, this is the required solution.