Use the exact values you enter to make later calculations. A ray of light strike

Question

Use the exact values you enter to make later calculations. A ray of light strikes a flat, 2.00-cm-thick block of glass (n-1.82) at an angle of = 31.6" with respect to the normal (see figure below). 2.00 cm (a) Find the angle of refraction at the top surface and the angle of incidence at the bottom surface. (b) Find the refracted angle at the bottom surface. (c) Find the lateral distance d by which the light beam is shifted (d) Calculate the speed of light in tht glass. (e) Calculate the time required for the light to pass through the glass block cm m/s

Explanation / Answer

a) form snells law

n1sin(theta1) = n2 sin(theta2)

theta2 = sin^-1(1*sin31.6/1.82) = 16.73 degrees

b) at the bottom

theta3 = sin^-1(1.82sin16.73/1) = 31.6 degrees

c) hcos16.73 = 2

h = 2.09 cm

sin(31.6-16.73) = d/2.09

d = 0.54 cm

d) vg = c/ng = 3*10^8/1.82 = 1.65*10^8 m/s

e) t = d/v = 2.09*10^-2/1.65*10^8 = 1.27*10^-10 sec

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