Final answer:
To find the angle of refraction when light passes from ethanol to cyclohexane, you use Snell's Law with the given indices of refraction and the angle of incidence. Calculate sin(θ2) and then use the inverse sine function to find the angle of refraction (θ2).
Step-by-step explanation:
To calculate the angle of refraction of light passing from ethanol into cyclohexane, we can use Snell's Law, which is n1 × sin(θ1) = n2 × sin(θ2), where n1 and n2 are the indices of refraction of the two media, and θ1 and θ2 are the respective angles of incidence and refraction. Given that the index of refraction of ethanol (n1) is 1.37 and that of cyclohexane (n2) is 1.43, and the angle of incidence (θ1) is 26.8°, we can solve for the angle of refraction (θ2).
Applying Snell's Law:
1.37 × sin(26.8°) = 1.43 × sin(θ2)
First, calculate the sine of the angle of incidence and then divide by the index of refraction for cyclohexane to find the sine of the angle of refraction:
sin(θ2) = (1.37 × sin(26.8°)) / 1.43
After calculating sin(θ2), use the inverse sine function to determine the angle θ2, which is the angle of refraction.
Substitute the values into the equation and solve for the angle of refraction (calculations not shown here as they require a calculator).