A microscope has an objective lens with a focal length of 14.0mm . A small objec

Question

A microscope has an objective lens with a focal length of 14.0mm . A small object is placed 0.80mm beyond the focal point of the objective lens.

Part A: At what distance from the objective lens does a real image of the object form? Express your answer to two significant figures and include the appropriate units.

Part B: What is the magnification of the real image? Express your answer using two significant figures.

Part C: If an eyepiece with a focal length of 2.5 cm is used, with a final image at infinity, what will be the overall angular magnification of the object? Express your answer using two significant figures.

Explanation / Answer

Part A)

Apply 1/f = 1/p + 1/q

1/14 = 1/14.8 + 1/q

q = 259 mm

That can be stated as 260 mm or 26 cm with two sig figs

Part B)

M = -q/p

M = -260/14.8

M = -18 (Negative means inverted)

Part C)

M = -25L/fo(fe)

L = 259 - 14.8 = 244.2 mm (24.42 cm)

M = -25(24.5)/(1.4)(2.5)

M = -180 (Again the negative means inverted)

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