Question

Locate the image of the point P as seen by the eye in the figure.

Answer 1

Given,
From the figure we can infer that the air is present in between the sheet, so it does not affect the shift. Therefore, the shift is only due to 3 sheets of different refractive indices, which is given by:
\[∆ t = \left[ 1 - \frac{1}{\mu_1} \right] t_1  + \left[ 1 - \frac{1}{\mu_2} \right] t_2  + \left[ 1 - \frac{1}{\mu_3} \right] t_3\]
\[= \left[ 1 - \left( \frac{1}{12} \right) \right]\left( 0 . 2 \right) + \left[ 1 - \left( \frac{1}{1 . 3} \right) \right]\left( 0 . 3 \right) + \left[ 1 - \left( \frac{1}{1 . 4} \right) \right]\left( 0 . 4 \right)\]
= 0.2 cm
Hence, location of image of point P is located 0.2 cm above point P.