Respuesta :
The time taken for the light to reach earth will be 3.6 ×10⁴ hours. The quantity of time that an activity or a condition continues to exist. is known as the time period.
What is the time period?
The amount of time that an action or a state continues to exist. is the time period. Depending on the nature of the activity or situation under consideration, it might be measured in seconds or millions of years.
The given data in the problem is;
v is the speed of ultraviolet light= 3 ×10⁸ m/sec
d is the distance covered by the light= 4×10¹³ Km=4× 10¹⁶m
The time taken by the light to reach the surface of the earth will be;
[tex]\rm d = v\times t \\\\ \rm t= \frac{d}{v} \\\\ \rm t= \frac{4\times 10^{16}}{3\times 10^8} \\\\ \rm t= 1.33 \times 10^{8} \ sec[/tex]
In one hour there are 3600 seconds so the time period in the hours is found as;
[tex]\rm t= 1.33 \times 10^8 \times \frac{1}{3600} \\\\ \rm t=3.6 \times 10^4\ hours[/tex]
Hence the time taken for the light to reach earth will be 3.6 ×10⁴ hours.
To learn more about the time period refer to the link;
https://brainly.com/question/2764183
