Question

A standard biological microscope is required to have a magnification of 200Ã. what is the focal length of the objective?

Answer 1

The focal length of the objective is L/20.

Step-by-step explanation:

Given that,

Magnification of the standard biological microscope, m = 200

Let the magnification of the eyepiece is,
`m_e=10`

Let
`m_o` is the magnification of objective lens. The formula of the magnification is given by :

`M=m_o* m_e\\\\200=m_o* 10\\\\m_o=20`

The formula of the magnification is given by :

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

L is length of microscope

`f_o` is focal length of the objective

`f_o=(Lm_e)/(M)\\\\f_o=(10L)/(200)\\\\f_o=(L)/(20)`

So, the focal length of the objective is L/20.