Question

A ray of light travels through air until it strikes the interface between the air and another medium. The incident ray makes an angle of 0 - 51.0 with the normal, as shown in the figure below. Upon passage into the second medium, the ray is refracted, emerging from the interface at an angle, with respect to the normal. Air (a) Suppose that the second medium is flint glass. What is the angle of refraction, 0, (in degrees)? (Enter your answer to at least one decimal place.) 27.9 (b) Suppose that the second medium is fused quartz. What is the angle of refraction place.) . In this case (in degrees)? (Enter your answer to at least one decimal Check that your calculator is set for angles in degrees. Double check the index of refraction you have obtained for the second medium from your textbook or another reliable source. Be sure that you are using the sin and functions in the correct order. Be sure that you have not swapped the positions of the two indices of refraction (c) Finally, suppose that the second medium is glycerine. What is the angle of refraction, y, in this case (in degrees)? (Enter your answer to at least one decimal place.)

Answer 1

From air Snell's law we know that Sind - M Mal for Sin da Sino - 4 - 0 Sin O₂ Refractive index for flintz glass is 1.66 Sin 51 1.66 Sin Or a) putting in eq (0) en Sis" (sin sip) sin (0.77) 1.66 1.66 6) Refractive hused quartz is 1.46 index for Sin si 1.46 Sinoz sin (0.7771 O2 = 1.46 O2 = 32.2)

o Refractive index Sin si for glycerine is 1:47 1:47 Sino O sin" (sins) - Sin (0.7771) 1.47 1 31.90