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.