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A two lens magnifying system uses lenses of focal lengths 2.5 and 9.5 cm for the...

A two lens magnifying system uses lenses of focal lengths 2.5 and 9.5 cm for the objective and eyepiece, respectively. The two lenses are positioned 23 cm apart. An object for study is placed 3.0 cm in front of the objective lens. Find the magnification of the final image.

Solutions

Expert Solution

Solution:

Given,

focal length of objective

focal length of eyepiec

The distance between objective nad eyepiece is 23cm.

(i) Refraction on Objective:

object distance

focal length

image distance =

By lens formula,

Magnification

(ii) Refraction on eyepiece:

The image formed by objective serves as the object for eyepiece. Distance between the two lens is 23cm. The image formed by objective is 15cm right to the objective. So, it will be 23-15=8cm infornt of eyepiece.

object distance

focal length

image distance =

By lens formula,

Magnification

The magnification of the final image is given by,

The magnification of the final image is -31.5

genius_generous answered 1 year ago

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