Light from Distant Star to Earth: Time Calculation

How long will it take for ultraviolet light from a distant star traveling at 3.0 x 10^8 m/s to reach Earth if it must travel 4.0 x 10^13 km?

Calculation for Time Taken

To find the time it takes for ultraviolet light to reach Earth, we need to convert the given distance from kilometers to meters and divide it by the speed of light.

Explanation:

Using the formula:

Time = Distance / Speed

Converting the distance from kilometers to meters:

4.0 x 10^13 km = 4.0 x 10^13 x 10^3 m = 4.0 x 10^16 m

Plugging in the values into the formula:

Time = 4.0 x 10^16 m / 3.0 x 10^8 m/s = 1.33 x 10^8 s

Therefore, the ultraviolet light will take approximately 1.33 x 10^8 seconds to reach Earth.

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