Problem

The speed of light is $2.998 \times 10^{8} \mathrm{~m} / \mathrm{s}$. How long does it take light to travel $10 . \mathrm{cm}$ ? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols.

Solution

Step 1 :Given that the speed of light is \(2.998 \times 10^{8} \mathrm{m/s}\) and the distance to be travelled is \(10 \mathrm{cm}\).

Step 2 :First, we need to convert the distance from centimeters to meters. We know that \(1 \mathrm{m} = 100 \mathrm{cm}\), so \(10 \mathrm{cm} = 0.1 \mathrm{m}\).

Step 3 :Now, we can use the formula for time which is distance divided by speed: \(\text{time} = \frac{\text{distance}}{\text{speed}}\).

Step 4 :Substituting the given values into the formula, we get \(\text{time} = \frac{0.1 \mathrm{m}}{2.998 \times 10^{8} \mathrm{m/s}}\).

Step 5 :Final Answer: The time it takes for light to travel 10 cm is approximately \(\boxed{3.34 \times 10^{-10} \text{ seconds}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/33901/

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