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A microscope has an objective lens with a focal length of 1.82 mm. The lenses are 47.8 cm apart What should the focal length of the eyepice be if I want the microscope to have an angular magnifica tion of -2000?

Respuesta :

Answer:

focal length of eye lens is 3.28 cm

Explanation:

As we know that the magnification of the microscope is given by the formula

[tex]M = \frac{L}{f_o}\frac{D}{f_e}[/tex]

now we will have

[tex]L = 47.8 cm[/tex]

D = 25 cm

M = 2000

[tex]f_o = 1.82 mm = 0.182 cm[/tex]

now we need to solve above equation to find focal length of eye lens

so here we will have

[tex]f_e = \frac{L}{f_o}\frac{D}{M}[/tex]

[tex]f_e = \frac{47.8}{0.182}\frac{25}[2000}[/tex]

[tex]f_e = 3.28 cm[/tex]

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