1.

A ray of light is incident at an angle of `60^@` on one face of a rectangular glass slab of thickness `0.1 m`, and refractive glass slab of thickness `0.1 m`, and refractive index `1.5`. Calculate the lateral shift produced.

Answer» Correct Answer - 0.0513 m
Here, `i_1 = 60^@, t = 0.1 m, mu = 1.5`
As `(sin i_1)/(sin r_1) = mu`
:. `sin r_1 = (sin i_1)/(mu) = (sin 60^@)/(1.5) = 0.5773`
`r_1 = sin^-1 (0.5773) = 35.3^@`
Lateral shift `= (t sin (i_1 - r_1))/(cos r_1)`
=`(0.1 sin (60^@ - 35.3^@))/(cos 35.3^@) = (0.1 sin 24.7^@)/(cos 35.3^@)`
=`(0.1 xx 0.418)/(0.816) = 0.0513 m`.


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