Consider the following figure. The magnification of the image formed by a refrac

Question

Consider the following figure.

The magnification of the image formed by a refracting surface is given by

where n1, n2, p, and q are defined as they are for the figure above and

n1q n2p Consider the following figure. The magnification of the image formed by a refracting surface is given by where n1, n2, p, and q are defined as they are for the figure above and A paperweight is made of a solid glass hemisphere with index of refraction 1.50. The radius of the circular cross section is 3.45 cm. The hemisphere is placed on its flat surface, with the center directly over a 2.05-mm-long line drawn on a sheet of paper. What is the length of this line as seen by someone looking vertically down on the hemisphere?

Explanation / Answer

since centere of curvature is on surface of slide

for R = - 3.45 cm hence p = 3.45 cm

1/q = {1-1.5}/-3.45 - 1.5/3.45

hence 1/q = {-1+1.5-1.5}/3.45

hence q = -3.45 cm

magnification = -(n1/n2)q/p

= -{1.5*-3.45}/{1*3.45}(2.05)= 3.075 mm

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