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

focal length of eye lens is 3.28 cm

Step-by-step explanation:

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

`M = (L)/(f_o)(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 = (L)/(f_o)(D)/(M)`

`f_e = (47.8)/(0.182)\frac{25}[2000}`

`f_e = 3.28 cm`