Eyepiece magnification(EM) X Objective magnification (OM)= Overall Magnification:

I. Overall magnification (TM) = x40

II. Overall magnification (TM) = x100

III. Overall magnification (TM) = x400

IV. Overall magnification (TM) = x1000

Explanation:

A microscope can be defined as an optical device that is typically used to make an enlarged (magnified) image of a minute (small) object and as such reveals all the little information about the object that cannot be seen by the natural human eye.

Mathematically, the overall (total) magnification of a microscope is given by the formula;

Overall magnification (TM) = Eyepiece magnification(EM) X Objective magnification (OM).

I. When EM = x10 and OM = x4

TM = EM * OM

TM = x10 * x4

TM = x40

II. When EM = x10 and OM = x10

TM = EM * OM

TM = x10 * x10

TM = x100

III. When EM = x10 and OM = x40

TM = EM * OM

TM = x10 * x40

TM = x400

IV. When EM = x10 and OM = x100

TM = EM * OM

TM = x10 * x100

TM = x1000

mathematical model hope this