Your task in physics lab is to make a microscope from two le

Your task in physics lab is to make a microscope from two lenses. One lens has a focal length of 10 cm , the other a focal length of 2.0 cm . You plan to use the more powerful lens as the objective, and you want its image to be 16 cm from the lens, as in a standard biological microscope. What will be the magnification of your microscope?

Solution

Focal length of objective f_o = 2.0 cm

focal length of eyepeiece f_e = 10 cm

1/f_o = 1/u + 1/v

1/2 = 1/u + 1/16

u = 2.29 cm

Distance of distinct vision D = 25 cm

M = v / u ( 1 + D / fe)

= 16 / 2.29 ( 1 + 25 / 10 )

= 24.45