Practicing Success
Find the maximum angle of deviation for a prism with angle A = 60° and $μ$ = 1.5. |
50° 58° 64° 60° |
58° |
Maximum Deviation The deviation is maximum when i = 90° or e = 90° that is at grazing incidence or grazing emergence. Let i = 90° $⇒ r_1 = C = \sin^{−1}(1/μ)$ $⇒ r_1 = \sin^{−1}(2/3) = 42°$ $⇒ r_2 = A −r_1 = 60° − 42° = 18°$ $μ \sin g\frac{\sin r_2}{\sin e}=\frac{1}{μ}$ $\sin e = u\, \sin r_2 = 1.5\, \sin 18°$ $⇒ \sin e= 0.463$ $⇒ r = 28°$ Deviation = $D_{max}$ $= i + e – A = 90° + 28° – 60° = 58°$ |