44. The left end of a long glass rod 8.00 em in diameter and with an index of re

Question

44. The left end of a long glass rod 8.00 em in diameter and with an index of refraction of 1,60 is gro and polished to a convex hemispherical surface. An object in the form of an arrow 2.00 mm tall, at righs angles to the axis of the rod, is located on the axis 23.5 cm to the left of the vertexs of the convex sutie The height of the image formed by paraxial rays incident on the convex surface is 0 893, What is the radius of the surface? A. 2 cm. B. 3 cm. C. 4 cm. D. 6 cm. E. None of above. CHAPTER 25 OPTICAL INSTRUMENTS 45. The eyepiece of a microscope has a focal length of 3.40 cm and the objective lens has f-0.740 em. If an object is placed 0.790 cm from the objective lens, calculate the distance between the lenses. A. 14.0 cm B. 21.3 cm C. 25.8 cm D. None of above. 46. If a person's eyeball is 2.6 cm deep instead of the usual 2.5 cm, he most likely suffers from. A. Color blidness B. Astigmatism C. Farsighteness D. Nearsighteness E. None of above

Explanation / Answer

(44)

Magnification of spherical refractive surface,

m = hi / ho = n1*di / n2*do

0.893 / 2 = 1*di / 1.6* 23.5

image distance, di = 16.78 cm

lmage position is given by,

n1 / do + n2 / di = n2 - n1 / R

1 / 23.5 + 1.6 / 16.78 = (1.6 - 1) / R

R = 4.3 cm

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