For light that originates within a liquid and strikes the liquid / air interface

Question

For light that originates within a liquid and strikes the liquid / air interface, the critical angle is 40 degree. What is Brewster's for this light? degree A ray of sunlight is passing from diamond into crown glass; the angle of incidence is 31.000 degree. The indices of refraction for the blue and red components of the ray are : blue (n_ = 2.444, n_crown = 1.531), and red (n_crown = 2.410, n_crown = 1.520). Determine the angle between the refracted blue and red rays in the crown glass. degree An object is placed to the left of a lens, and a real image is formed to the right of the lens. The image is inverted relative to the object and is one - half the size of the object. The distance between the object and the image is 89.5 cm. (a) How far from the lens is the object? d_0 = (b) What is the focal length of the lens? f =

Explanation / Answer

10. Applying snell's law,

ni sin(i) = nr sin(r)

n sin(40) = 1 sin90

n = 1/ sin(40) = 1.56

and brewster angle = tan^-1(ni / nr) = tan^-1(1.56 / 1)

= 57.3 deg

11. for blue:

2.444 sin31 = 1.531 sin(r1)

r1 = 55.303 deg

for red:

2.410 sin31 = 1.520 sin(r2)

r2 = 54.747 deg

deltar = r1 - r2 = 0.556 deg

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