Answer to Question #203524 in Electric Circuits for denz

Question #203524

a 50m high object was seen via a telescope 100m from a 3.5mm focal length converging lens. Determine the image distance, magnification, and object height


1
Expert's answer
2021-06-07T09:35:44-0400

Gives

"Object distance (o)=" 100m

Focal length (d)=3.5mm

We know that



"\\frac{1}{o}+\\frac{1}{I}=\\frac{1}{f}"

Put value

"\\frac{1}{I}=\\frac{1}{3.5\\times10^{-3}}-\\frac{1}{100}"

Object distance "d_I=3.5\\times10^{-3}m"

Magnificent

"m=\\frac{I}{o}"

Put value

"m=\\frac{3.5\\times10^{-3}}{100}"

"m=3.5\\times10^{-5}"

Object hight

"\\frac{I}{o}=\\frac{h}{h'}"

"h'=\\frac{I}{o}\\times h"

Put value

"h'=\\frac{50}{100}\\times3.5\\times10^{-3}"

"h'=1.75\\times10^{-3}m"

"h'=1.75mm"


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