Question

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?

Answer 1

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

$M = \frac{L}{f_o}\frac{D}{f_e}$

now we will have

$L = 47.8 cm$

D = 25 cm

M = 2000

$f_o = 1.82 mm = 0.182 cm$

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

so here we will have

$f_e = \frac{L}{f_o}\frac{D}{M}$

$f_e = \frac{47.8}{0.182}\frac{25}[2000}$

$f_e = 3.28 cm$