Question

Light strikes a 5.0-cm thick sheet of glass at an angle of incidence in air of 50°. The sheet has parallel faces and the glass has an index of refraction 1.50. (a) What is the angle of refraction in the glass? (6) After traveling through the glass the light re-emerges into the air. What is the final angle of refraction in air? () As it leaves the glass, by what distance is the path of the ray is displaced from what it was before entering the glass?

Answer 1

Hence we take a parallel glass plate having two plane parallel to each other.Now we have to calculate the refractive angle,lateral displacement
P ail AC 5 cun 4 = 50° il = 1.50 B A glans T R air S From the picture, het ABCD is a paraller glass plate whose to sides A B and CD are parallel to each other. A light ray PQ is make incident on the plane AB, strukes the point & with incidence angle in 50°. After incidence it makes refreation in glass o al and then also strikes the second plane Ced, at the point R with make and emerges through the air anged in for the point a, from snell's how sini, the along QR and incident angle son along Rs having Now allg sins, Hence ally refractive index of glass with respect 1.5 & i = 50°

so 1.5 = sin 50 Sins, Sin 50° = 0.5) on sing, so r = sint (0.51) - 30.66° is 30.660 a) The glass Now, angle of refraction in the light finally goes to air medium The Sind siniz [In sins, Siniz Sinsa Siniz gua case of discussing refraction at point & As we know ally get : sini, sing, from picture or [ alternate angle] This sins, Sinsa. Sini, = sinia b) Aglez travelling through the the glass the light re-emerges into ain, but there is not change of final angle. This final angle angle equals at first the incidence ire augle i, ai = 50°

dent there is no As it leaves the glass change of direction of light have. It also happen the Laterras displacement only are RX from the figure, sin |RQx " RX = QRSin (1,-6) Again, cost, AT - AC [Suppose Ac = t = b RX QR ema 5 QR QR QR - t Cobre, RX - Coss + [sencj casa - Cocesor] - - Pane, care con Hence, u 2 a t sin (2,-2) sine, cost- Cossins, Sinej - Coser sing, Cosr, Cosn, sini le = Sins, sins, sini le . Cov, dimana in centre coin? i. Rx = t sine, - Cosé, sini.m a M²- sinzi Cosil t=5am ¿;- 50° Cossoo 5x Sin 50° Ma 1.5 1.52- Sin250 = 2.351 Cm Displacement of final ray from initial in 2.351 Cm [siones است