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Wave Optics

Question
CBSEENPH12038218

Answer the following questions:
Why must both the objective and eyepiece of a compound microscope have short focal lengths?

Solution
Angular magnification of eyepiece = 25fe (cm)+1.  

Thus, angular magnification increases if fe is smaller.

Magnification of the objective = v0u0 = 1u0f-1 
Magnification is large when u0 is slightly greater than f(focal length of the objective)
As the object lies close to the focus of objective lens, u = fo. And, to increse this magnification (v/fo ), fo should be small.

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