Speed of Ultraviolet Light Traveling to Earth

03 Jan 2023

How long will it take for the ultraviolet light to reach Earth?

A. 2.7 × 10⁻² hours

B. 2.2 × 10³ hours

C. 3.7 × 10⁴ hours

D. 1.3 × 10⁵ hours

Given the speed of the ultraviolet light and the distance it must travel, the time it will take for the light to reach Earth is 3.7 × 10⁴ hours.

Speed is defined as the distance traveled per unit time. Mathematically, speed is calculated as Speed = Distance ÷ Time.

For the ultraviolet light traveling to Earth:

Speed of the Ultraviolet light = 3.0 × 10⁸ m/s = 1.08 × 10⁹ km/h

Distance it must cover = 4.0 × 10¹³ km

Time taken = ?

By substituting the given values into the speed formula:

Speed = Distance ÷ Time

1.08 × 10⁹ km/h = 4.0 × 10¹³ km ÷ Time

Time = 4.0 × 10¹³ km ÷ 1.08 × 10⁹ km/h

Time = 3.7 × 10⁴ hours