Question

Problem 18.22 く 20f 17 ReviewI Constants Periodic Table Part A A typical diamond is cut as shown in (Figure 1). A ray of light has entered the flat window at the top of the diamond perpendicular to the surface, as shown in the figure. At what angle relative to the incoming direction is the ray reflected from the first interaction with the surface of the diamond? Express your answer in degrees Figure 1 of 1 SubmitPrev Previous Answers Request Answer Incorrect; Try Again; 5 attempts remaining Part B Complete previous part(s) Provide Feedback Next> Pearson

Answer 1

Taking refroze time index of diamond n_2 = 2.4 As normally used and refractive of air n_1 = 1 At first interaction surface doublerightarrow incident angle is i = 41 degree using shell�s law at surface n_2 sin = n_1 sin t let epsilon = 90 degree: i = i_0 doublerightarrow 2.42 sin i_c = 1.sin 90 degree doublerightarrow i_c = sin^-1(1/2.42) doublerightarrow 24.41 degree sin c t i i > i_c doublerightarrow (41 degree > 24.41 degree) (i_c is total reflective angle) therefore, ray will go through same medium making 4i with perpendicular (normal) Thus, Angle of that ray with respect to initial say is: theta_1 = 41 degree + 41 degree theta_1 = 82 degree