In her biology class, Chris examines an insect wing under acompound microscope t

Question

In her biology class, Chris examines an insect wing under acompound microscope that has an objective lens with a focal lengthof 0.70 cm, an eyepiece with a focal length of 3.0 cm, and a lensseparation distance of 16.00 cm. Chris has a near point distance of22.5 cm. What is the approximate angular magnification of themicroscope as Chris views the insect wing?

a. –75
b. –140
c. –190
d. –250
e. –110 In her biology class, Chris examines an insect wing under acompound microscope that has an objective lens with a focal lengthof 0.70 cm, an eyepiece with a focal length of 3.0 cm, and a lensseparation distance of 16.00 cm. Chris has a near point distance of22.5 cm. What is the approximate angular magnification of themicroscope as Chris views the insect wing? –75 –140 –190 –250 –110

Explanation / Answer

The lateral magnification by the objective is Mo= -(L/fo) L = fe - fo fe= 3.0 cm and fo= 0.70 cm The angular magnification by the eyepiece for an object(corresponding to the image at I1) placed at the focalpoint of the eyepiece is, me= (22.5 cm/fe) The overall magnification of the image formed by a compoundmircroscope is defined as the product of the lateral and angularmagnifications: M = Mome= -(L/fo) * (22.5cm/fe) The negative sign indicates that the image is inverted. fe= 3.0 cm and fo= 0.70 cm The angular magnification by the eyepiece for an object(corresponding to the image at I1) placed at the focalpoint of the eyepiece is, me= (22.5 cm/fe) The overall magnification of the image formed by a compoundmircroscope is defined as the product of the lateral and angularmagnifications: M = Mome= -(L/fo) * (22.5cm/fe) The negative sign indicates that the image is inverted.

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