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A microscope has an objective lens with a focal length of 19.5 mm and an eyepiece with a focal length of 6.2 mm. With the length of the barrel set an 33.0 cm, the diameter of a red blood cell’s image...

A microscope has an objective lens with a focal length of 19.5 mm and an eyepiece with a focal length of 6.2 mm. With the length of the barrel set an 33.0 cm, the diameter of a red blood cell’s image subtends an angle of 1.2 milli-radians with the eye. The final image distance is 29.0 cm from the eyepiece.

(a) What is the length of the image of the of the cell produced by the eyepiece?

(b) Using the lens equation, find the object distance for the eyepeice that creates the image observed.

(c) What is the magnification produced by the eyepeice? (Hint use the M equation from chapter 23, not m = 25/f, this assumes an image distance of 25 cm).

(d) Find the object distance for the objective, p1. (The distance between the objective and the cell.)

(e) Find the magnification for the objective, M1.

(f) Find the overall magnification, meM1.

(g) What is the actual diameter of the red blood cell?

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