Final answer:
The speed of light in water, when calculated using the refractive index, comes out to be 2.25×108 m/s. However, this calculated answer is not listed among the provided options a, b, c, and d, so the correct speed is not included among them.
Step-by-step explanation:
The question revolves around the concept of the refractive index and its relationship with the speed of light in different media. The refractive index of a medium is a measure of how much the speed of light is reduced inside that medium, compared to its speed in a vacuum. To find the speed of light in water when the speed of light in glass and their respective refractive indices are given, we employ the formula that relates them: speed of light in medium = c / n, where c is the speed of light in a vacuum and n is the refractive index.
The refractive index of water is given as 4/3, and the refractive index of glass is 3/2. We know that the speed of light in glass is 2×108 m/s. Since the speed of light in a vacuum (c) is approximately 3×108 m/s, and the refractive index of water is 4/3, we can calculate the speed of light in water as follows:
Speed of light in water = c / (4/3) = (3×108 m/s) / (4/3) = 2.25×108 m/s.
This calculation demonstrates that the correct option for the speed of light in water is 2.25×108 m/s, which is not explicitly listed among the options provided. Therefore, the given options a, b, c, and d do not include the correct answer based on the calculations.