Answer:
The focal length of eyepiece is 3.68 cm.
Explanation:
Given that,
Distance = 19 cm
Focal length = 5.5 mm
Magnification = 200
Object distance = -25 cm
We need to calculate the focal length
Using formula of magnification
[tex]m=\dfrac{d}{f_{o}}+\dfrac{-25}{f_{0}f_{e}}[/tex]
Put the value into the formula
[tex]f_{e}=\dfrac{19\times(-25)}{.55(-200-\dfrac{19}{.55})}[/tex]
[tex]f_{e}=3.68\ cm[/tex]
Hence, The focal length of eyepiece is 3.68 cm.