Determine the position of the image of point P as observed by the eye in the figure.

Step-by-step solution

The apparent shift x produced by a transparent slab of thickness t and refractive index is given by x = t (1 - 1 ) . For multiple slabs, the total shift is the sum of the individual shifts. The air gaps do not contribute to the shift as their refractive index is 1 . Total shift x = x₁ + x₂ + x₃ x = 0.4 (1 - 1 1.4 ) + 0.3 (1 - 1 1.3 ) + 0.2 (1 - 1 1.2 ) x = 0.4 ( 0.4 1.4 ) + 0.3 ( 0.3 1.3 ) + 0.2 ( 0.2 1.2 ) x = 0.16 1.4 + 0.09 1.3 + 0.04 1.2 x = 1.6 14 + 0.9 13 + 0.4 12 x = 0.8 7 + 0.9 13 + 0.1 3 x 0.114 + 0.069 +