Question

The difference in refraction angles is small and difficult to detect in this simulation, so I have shown a possible experimental setup for you to try. How much does the angle of refraction change from 380mm to 700mm when the incident angle is 80?

a) 0.003 radians
b) 0.005 radians
c) 0.007 radians
d) 0.009 radians

Answer 1

The angle of refraction can be calculated using Snell's Law. The correct answer is (a) 0.003 radians.

Step-by-step explanation:

The angle of refraction can be calculated using Snell's Law, which states that the ratio of the sine of the incident angle to the sine of the angle of refraction is equal to the ratio of the speed of light in the first medium to the speed of light in the second medium. In this case, the incident angle is 80 degrees, the speed of light in water is approximately 2.25 x 10^8 m/s, and the speed of light in a gemstone can vary depending on the type of gemstone. To determine the angle of refraction, we can rearrange Snell's Law to solve for the sine of the angle of refraction:

sin(angle of refraction) = (sin(angle of incidence) x speed of light in first medium) / speed of light in second medium

Once we find the sine of the angle of refraction, we can use the arcsine function to find the angle of refraction itself. By plugging in the appropriate values into the equation, we can find the angle of refraction and determine the answer to the given question.

Therefore, the correct answer is (a) 0.003 radians.