You are studying a rare species of small mushroom by growing them in a large tank filled with a 60 percent glucose solution, which has an index of refraction of ns =1.44. In order to magnify the small mushroom sample, you have built a long glass rod with curved ends which you insert into the top of the tank. The glass rod has an index of refraction of ng =1.55. The lower curved end of the glass rod is 12cm above the mushroom sample, and its magnitude of curvature is |r1| = 6cm. The length
You are studying a rare species of small mushroom by growing them in a large tank filled with a 60
percent glucose solution, which has an index of refraction of ns =1.44. In order to magnify the small mushroom
sample, you have built a long glass rod with curved ends which you insert into the top of the tank. The glass
rod has an index of refraction of ng =1.55. The lower curved end of the glass rod is 12cm above the mushroom
sample, and its magnitude of curvature is |r1| = 6cm. The length of the glass rod is d = 25 cm, and the upper
curved end has a magnitude of the radius of curvature of |r2| = 10cm. The signs of both radii of curvature are left
to the student to determine from the figure below. The index of refraction of air is, as always, 1. Carry a large
number of significant figures through the problem and simplify at the end.
(a)Compute the final location of the image formed of the mushroom by the device.
(b)Compute the total magnification of the glass rod.
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