Magnification?is?how many times bigger?the image of a specimen observed is in comparison to the actual, real-life size of the specimen
A?light microscope?has two types of lens:
An?eyepiece lens,?which often has a magnification of x10
A series of (usually 3)?objective lenses, each with a different magnification
To calculate the?total magnification,?the magnification of the?eyepiece?lens and the?objective?lens are?multiplied?together:
total magnification =?eyepiece lens magnification x objective lens magnification
The?magnification?(M) of an object can also be calculated if both the size of the?image?(I), and the?actual size?of the specimen (A), is known
magnification =??image size ÷?actual size
Remember to ensure that the image size (I) and the actual size (A) of the specimen have the?same units?before doing the calculation
The equation for calculating magnification can be rearranged to calculate either actual size, image size, or magnification.
Worked Example
An?image?of an animal cell is 30 mm in diameter and it has been?magnified?by a factor of? x3000.
What is the?actual?diameter of the cell?
Using an eyepiece graticule & stage micrometer
A?graticule?is a small disc that has an?engraved ruler
It can be placed?into the eyepiece?of a microscope to act as a ruler in the field of view, so is sometimes known as an?eyepiece graticule
As an eyepiece graticule has no fixed units it must be?calibrated?for the objective lens that is in use
The graticule in the eyepiece remains the same size when the magnification of the microscope is altered, so recalibration is needed at each viewing magnification
Calibration of the eyepiece graticule is done a microscope slide with an engraved scale known as?a stage micrometer
By using the?eyepiece graticule and the stage micrometer together,?the size of each graticule unit can be calculated
After this is known the graticule can be used as a?ruler?to measure objects?in the field of view
The stage micrometer scale is used to find out how many micrometers each graticule unit represents
Worked Example
Calculate the size of the units of the eyepiece graticule in the image below.
Note that the large divisions in the top half of the image show the stage micrometer and that each stage micrometer division is 1 mm across.
Step 1: Observe the number of eyepiece unit divisions per micrometer unit
In the image, the stage micrometer has three lines
Each micrometer division has 40 eyepiece graticule divisions within it
Step 2: Calculate the size of each eyepiece graticule unit
40 graticule divisions = 1 mm (1000 μm)
1 graticule unit = 1000?÷?40 = 25 μm
An object that spanned five eyepiece graticule units could therefore be measured as follows
5 x 25 μm = 125 μm
Exam Tip
The biggest pitfall with these kinds of calculations is forgetting to convert the units so that they match before embarking on a calculation. E.g. if image size is measured in mm but the actual size of an object is given in μm then both need to be converted into μm before using the equation triangle above.
To convert a measurement from mm into μm the measurement must be multiplied by 1000 (there are 1000 μm in 1 mm).
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