Q: A small object stuck on the surface of a glass sphere (n = 1.5) is viewed from the diametrically opposite position. Find transverse magnification.

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$\displaystyle \frac{n_2}{v} – \frac{n_1}{u} = \frac{n_2 – n_1}{R}$

$\displaystyle \frac{1}{v} – \frac{1.5}{-2R} = \frac{1 – 1.5}{-R}$

v = -4 R

$\displaystyle m = \frac{n_1 v}{n_2 u } $

$\displaystyle m = \frac{1.5 (-4R)}{1 (-2R) } $

m = 3