To calculate the speed of light in a medium, we can use the formula:
Speed of light in a medium = Speed of light in vacuum / Refractive index of the medium
Given that the refractive index of glass (n1) is 1.5 and the refractive index of oil (n2) is 1.33, we can calculate the speed of light in oil.
Let's assume the speed of light in a vacuum is c.
Speed of light in glass = c / n1 = c / 1.5
Speed of light in oil = c / n2 = c / 1.33
Now, when light travels from glass to oil, the speed of light changes. The relationship between the speeds of light in the two media can be given by Snell's law:
n1 * sin(angle1) = n2 * sin(angle2)
Since we are not given the angles of incidence and refraction, we cannot directly calculate them. However, we can still determine the ratio of the speeds of light in the two media.
Speed of light in oil / Speed of light in glass = c / (n2 * c) / (n1 * c)
Speed of light in oil / Speed of light in glass = n1 / n2
Speed of light in oil = (n1 / n2) * Speed of light in glass
Substituting the given refractive indices:
Speed of light in oil = (1.5 / 1.33) * (c / 1.5) = (1.5 / 1.33) * (c / 1.5)
Simplifying the expression:
Speed of light in oil = c / 1.33
Therefore, the speed of light in oil, given the refractive indices of glass and oil, is c/1.33 or approximately 0.7519 times the speed of light in a vacuum.