The left end of a long glass rod, 8.00cm in diameter, has a convex hemispherical

Question

The left end of a long glass rod, 8.00cm in diameter, has a convex hemispherical surface 4.00cm in radius. The refractive index of the glass is 1.60.
A) Determine the position sb of the image of an object placed in air on the axis of the rod infinitely far from the left end of the rod. sb=___________cm

B) Determine the position sb of the image if an object is placed in air on the axis of the rod 18.0cm to the left of the end of the rod. sb=___________cm

C) Determine the position sb of the image if an object is placed in air on the axis of the rod 4.00cmfrom the left end of the rod. sb=___________cm

Explanation / Answer

na/s + nb/sb = (nb-na)/R

A) 1/infinity + 1.6/sb = (1.6-1)/4

sb = 10.67 cm

B)
1/18 + 1.6/sb = (1.6-1)/4

sb = 16.94 cm

C) 1/4 + 1.6/sb = (1.6-1)/4

sb = -16 cm

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