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 \(\boxed{3.34 \times 10^{-10} \text{ seconds}}\).