# what is the total magnification of a microscope

The total magnification depends upon the power of the ocular times the power of the objective lens. So in a typical lab microscope you would likely find a 10X ocular and three or four objective lenses: 4X, 10X, 40X (45X in some scopes, and 100X. The total magnification for each of these would be 40X, 100X, 400X (450X), and 1000X. Some older scopes have 47X and 97X as objective lenses so those would be 470X and 970X. If you need the total magnification for the microscope you used, you’ll have to get it from the microscope itself! To calculate the total magnification, you multiply the power of the ocular lens by the power of the objective lens. For example, if your ocular lens has a power of 10x and your objective lens has a power of 5x, your total magnification will be 50x. Do that simple task for each of what you asked and you will be good to go. Don’t forget to include the “x” in your answers.

M = Mo x Me
find Mo
the object is placed just outside the focal length of objective lens
Mo = – di/do and di = 16 cm , do = 0.8
Mo = – 16 / 0.8 = -20
find Me
the object (the image from objective lens) is place just inside the focal length
di = -25 cm , do = 2.5 cm
Me = – (-25) / 2.5 = +10
so
M = -20 (+10) = -200

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