A compound microscope gives a magnification of 200 $\times$ with an eyepiece of focal length 2.00 cm.If the eyepiece is replaced with an eyepiece of focal length 1.50 cm,what magnification results?
A) 150$\times$
B) 133$\times$
C) 89$\times$
D) 267$\times$
E) 300$\times$

Question

Quizplus · Accepted Answer

The magnification of a compound microscope is inversely proportional to the focal length of the eyepiece. If the focal length is reduced from 2.00 cm to 1.50 cm, the magnification increases by a factor of 2.00/1.50 = 4/3. Therefore, the new magnification is 200 $\times$ (4/3) = 267$\times$.

A Compound Microscope Gives a Magnification of 200 ×\times× With an Eyepiece of Focal Length 2

A Compound Microscope Gives a Magnification of 200 $\times$ With an Eyepiece of Focal Length 2