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If the sun is a distance of [tex]1.5 \times 10^8[/tex] km away from Earth, how long does the sunlight take to reach Earth? The light moves at [tex]3.0 \times 10^8[/tex] m/s.

A) 500 seconds
B) 5 minutes
C) 500 seconds
D) 8.3 minutes

Answer :

Final answer:

It takes approximately 500 seconds, or 8.3 minutes, for sunlight to travel from the Sun to Earth. This is calculated by dividing the distance from the Sun to Earth (1.5x10¹¹ meters) by the speed of light (3.0x10⁸ m/s). Therefore, the correct answer is D.

Explanation:

The distance from the Sun to Earth is given as 1.5x10⁸ km. To find out how long it takes for sunlight to reach Earth, we need to convert the distance into meters (since the speed of light is usually given in meters per second). The distance in meters is 1.5x10⁸ km x 1,000 m/km = 1.5x10¹¹ m. Using the speed of light, which is 3.0x10⁸ m/s:

Time = distance / speed = 1.5x10¹¹ m / 3.0x10⁸ m/s = 500 seconds.

Since there are 60 seconds in a minute, 500 seconds is equal to 500 / 60 = 8.33 minutes, or roughly 8 minutes and 20 seconds. Therefore, the correct answer is D) 8.3 minutes. It is approximately the time it takes for light to travel from the Sun to Earth.

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