In a microscope of the type shown in the figure, the focal length of the objecti

Question

In a microscope of the type shown in the figure, the focal length of the objective is 4.24 cm, and that of the eyepiece is 9.26 cm. The distance between the lenses is 26.3 cm. (a) What is the tube length s? (b) If image I in the figure is to be just inside focal point F'i, how far from the objective should the object be? What then are (c) the lateral magnification m of the objective, (d) the angular magnification me of the eyepiece, and (e) the overall magnification M of the microscope? Evepiece Objective Parallel rayw To distant virtual image (a) Number [12.8 (b) Number 15.6445 (c) Num 3.01887 UnitsT This answer has no units 2.84017 This answer has no units e) Number i tehn wilay Kans In. Al Rinhts Reserved.A Divis

Explanation / Answer

The overall angular magnification M of a microscope M is product of two factors

one is latral magnification m1, second one is angular magnification M2

first one from the problem is m1 = -3.01887

now the angular magnification M2 = (y/f2)/(y/25)

M2 = (25/f2)

where f2 is focal length of the eyepiece

M2 = (25/9.26) = 2.69978

now the overall angular magnification is M = m1*M2 = 3.01887*2.69978 = 8.1503

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