A ray of light strikes a flat, 2.00 cm thick block of glass (n = 1.50) at an angle of 30° with the normal as shown in the figure .The light ray is shifted laterally by a distance d . Find the value of d.
see the diagram :
For a given pair of angles the ratio of sine of the angles is constant for a given pair of medium.
i = angle of incidence = 30o.
r = angle of refraction = ?
e = angle of emergence = i = 30o.
d = lateral displacement = ?
n = refractive index = 1.5
t = thickness of glass slab = 2cm.
Applying Snell's Law at the surface of first refraction :
also, we can detremine ,
From the traingle ABC,
we can calculate AC :
From the traingle ACD :
angle CAD = i - r = 30 - 19.47 = 10.53o.
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