A ray of light strikes a flat, 2.00-cm-thick block of glass (n = 2) at an angle

Question

A ray of light strikes a flat, 2.00-cm-thick block of glass (n = 2) at an angle of ? = 8.7° with respect to the normal (see figure below).

(a) Find the angle of refraction at the top surface.
°

(b) Find the angle of incidence at the bottom surface and the refracted angle.
°

(c) Find the lateral distance d by which the light beam is shifted.
cm

(d) Calculate the speed of light in the glass.
m/s

(e) Calculate the time required for the light to pass through the glass block.
s

(f) Is the travel time through the block affected by the angle of incidence?
Yes, a slightly larger angle will decrease the travel time.
No
Yes, a slightly larger angle will increase the travel time.

Explanation / Answer

sin i/sin r = 2/ 1  = v1 / v2

a) sin i/sin r = 2/ 1

or sin r = sin i / 2 = sin 8.7 / 2 = 0.078

or r = 4.337o

b)angle of incidence = 4.337o

refracted angle = 8.7o

c)lateral shift = 2( tan i - tan r) = 2 (0.0773) =0.154 cm

d) sin i/sin r   = v1 / v2

v2 = 2x18^8 x sin r/sini = 9.99x10^7 m/s

e) t = 0.02/ 9.99x10^7 = 2x10^-10 s

f)Yes, a slightly larger angle will increase the travel time.

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