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1. A ray of light comes to the interface that is part of a sphere of radius r=15

ID: 2033603 • Letter: 1

Question

1. A ray of light comes to the interface that is part of a sphere of radius r=15.0 cm. The media are air on the convex, incident side and glass of index of refraction n=1.50 on the other side. (a) How far from the vertex does the refracted ray cross the principal axis if the incident ray is 5.0 cm away from and parallel to the principal axis? (b) What is the focal length if the interface is treated as a lens? *** The answer is for a is not 6.63 and the answer for b is not 7.5

2. A sample of bacteria is placed under a compound microscope that has an objective with focal length 5.00 cm and an eyepiece with focal length of 0.500 cm, 30.0 cm apart. Assuming that the near point is 25.0 cm, what are the (a) minimum and (b) maximum angular magnifications (with signs) of this compound microscope? ***Answer to a is not -147.5 or -295. The answer to b is -245. Please do not answer me with one of the ones that I already said were incorrect. I already asked these questions before and the disclaimer was ignored so i wasted questions.

Explanation / Answer

1 )

magnification

M = - f/fo

= - 125/1 = -125 cm

2 )

1.5/d1 + 1/5 = ( 1.5-1 )/ 15

d1 = - 9 cm

using

1/f = ( n - 1 ) ( 1/R1 - 1/R2 )

= ( 1.5 - 1 ) ( 1/15 - 1/5 )

f = - 15.01 cm

2 )

L = 30 - 5 - 0.5

L = 24.5 cm

Mmin = - ( 6.02 + 24.5 / 2 X 5 ) ( 25/0.5 )

= - 128.052

Mmax = - ( 29.5/6.02) ( 25/0.5)

= - 245