A compound microscope has a magnifying power of $$100$$ when the image is formed at infinity. The objective has a focal length of $$0.5$$ cm and the tube length is $$6.5$$ cm. Find the focal length of the $$eye-$$ piece

Question

Infinity Learn · Accepted Answer

When final image is at infinity the magnification produced by eye piece is Dfe  and  $$ve=feL=vo+ue$$   $$1Vo+1uo=1fo6.5=Vo+fe$$    $$vou0+1=vofo$$                     $$u0vo+1=6.5$$−$$fe0.5Overall$$ magnification  $$v0uoDfe=100$$                                            $$vouo=4fe$$                                    $$4fe+1=26.5$$−fe                                      $$4fe+1=13$$−$$2fe$$                                            $$6fe=12$$                                             $$fe=2cm$$

A compound microscope has a magnifying power of 100 when the image is formed at infinity. The objective has a focal length of 0.5 cm and the tube length is 6.5 cm. Find the focal length of the eye- piece

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