Answer:
you will use Snell's Law and the definition of the critical angle.
Step-by-step explanation:
To find the angle of refraction and the critical angle,
1. Snell's Law is given as n1*sin(θ1) = n2*sin(θ2) where n1 and n2 are refractive indices and θ1 and θ2 are the angles of incidence and refraction, respectively.
If light passes from air into glass, the refractive index of air is considered to be 1. Given that the refractive index of glass is 1.5 and the angle of incidence (θ1) is 38°, you substitute these values into Snell's Law.
So sin(θ2) = (n1 * sin(θ1)) / n2
That leads us to sin(θ2) = (1*sin(38))/(1.5)
Upon solving this, you will obtain the value of θ2, the angle of refraction in the glass.
2. The critical angle (θc) is the angle of incidence that provides an angle of refraction of 90 degrees. This can be found from the formula sin(θc) = n2/n1.
Given that n1 is the refractive index of glass (1.5) and n2 is the refractive index of air (1), we get sin(θc) = 1/1.5. Solving this, you will obtain the value of θc, the critical angle.
Please use a calculator to find the final values from these equations.