Questions: 299, 792,458 meters per second 3.00 × 10^9 m / s 3.00 × 10^-9 m / s 3.00 × 10^8 m / s

299, 792,458 meters per second 3.00 × 10^9 m / s 3.00 × 10^-9 m / s 3.00 × 10^8 m / s
Transcript text: 299, 792,458 meters per second $3.00 \times 10^{9} \mathrm{~m} / \mathrm{s}$ $3.00 \times 10^{-9} \mathrm{~m} / \mathrm{s}$ $3.00 \times 10^{8} \mathrm{~m} / \mathrm{s}$
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Solution

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Solution Steps

Step 1: Understand the Question

The question provides four different values for speed, and we need to identify which one corresponds to the speed of light in a vacuum.

Step 2: Recall the Speed of Light

The speed of light in a vacuum is a well-known constant, approximately \(299,792,458\) meters per second. This is often approximated in scientific notation as \(3.00 \times 10^{8} \, \text{m/s}\).

Step 3: Compare the Options

Let's compare the given options with the known value of the speed of light:

  1. \(299,792,458 \, \text{m/s}\) - This is the exact value of the speed of light.
  2. \(3.00 \times 10^{9} \, \text{m/s}\) - This is \(10\) times the speed of light.
  3. \(3.00 \times 10^{-9} \, \text{m/s}\) - This is an extremely small value, not related to the speed of light.
  4. \(3.00 \times 10^{8} \, \text{m/s}\) - This is the scientific notation approximation of the speed of light.

Final Answer

The correct answer is the fourth option: \(3.00 \times 10^{8} \, \text{m/s}\).

\[ \boxed{3.00 \times 10^{8} \, \text{m/s}} \]

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