Speed of Light Calculation in Unknown Liquid

What is the speed of light in the unknown liquid based on the given data?

The speed of light in the unknown liquid is approximately 2.45 x 10⁸m/s.

Calculation of Speed of Light in Unknown Liquid

The given information includes the wavelength of a helium-neon laser beam in air and the time it takes for the light to travel through a certain distance of an unknown liquid. To find the speed of light in the unknown liquid, we can use the formula speed = distance / time. First, we need to convert the distance from centimeters to meters. Since 1 meter is equal to 100 centimeters, we divide 35.0 cm by 100 to get 0.35 meters. Next, we need to convert the time from nanoseconds to seconds. Since 1 second is equal to 1,000,000,000 nanoseconds, we divide 1.43 ns by 1,000,000,000 to get 1.43 x 10⁻⁹ seconds. Now we can use the formula speed = distance / time. The distance is 0.35 meters and the time is 1.43 x 10⁻⁹ seconds. Dividing 0.35 by 1.43 x 10⁻⁹ gives us the speed of light in the unknown liquid. To calculate the speed, the formula is speed = 0.35 m / 1.43 x 10⁻⁹ s. Therefore, the speed of light in the unknown liquid is approximately 2.45 x 10⁸m/s. In conclusion, the speed of light in the unknown liquid based on the given data is approximately 2.45 x 10⁸m/s.
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