Compound microscope

Compound microscope

1) For a compound microscope the magnifying power is

m =  m_o x m_e

where

m_o  =  magnifying power of the objective lens

m_e  =  magnifying power of the eyepiece lens

2) Now suppose the image A'B'  is at the focus of the eyepiece lens, So magnifying power of the eyepiece is

3) Now

<XF₁C₁  =  <A'F₁B'

<XC₁F₁  =  <A'B'F₁

Therefore

But    AB  =  C₁X

Now magnifying power of the objective lens is

B'F₁  =  L  = it is called length of the microscope

f_o  = focal length of the objective lens

therefore for a compound microscope

Magnifying power is

m =  m_o x m_e