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Compound Microscope
Hans Lippershey



Zaccharias Hanssen
Hans Lippershey



Zaccharias Hanssen
A compound microscope is a
microscope with two or more convex
lenses.
A light source is used to illuminate
what is being observed.

There are usually four objective lenses
with magnifications of 4X, 10X, 40X,
and 100X.
Head
                               Eyepiece


Revolving Nosepiece

      Objectives
                               Arm
                                    Coarse Adjustment Knob
       Stage

                                     Fine Adjustment Knob
          Diaphragm

    Illuminator


                             Base
Lenses

• composed of two lenses:

     objective = short focal length

     eyepiece = focal length of few cm


• lenses separated by some distance greater
than either lens' focal length
How does it work?
• object placed outside the focal length of
objective, forms inverted image near focal
length of eyepiece

• eyepiece magnifies the image
• the lenses of a compound microscope
bend the light that you shine from the
bottom through the sample to make it
seem larger. there are two lenses to add
to (compound) the effect
Image Formation




•The object (O) is placed just outside Fo, the principal focus of the objective lens.

•Fe is the principal focus of the eye lens.

•A real, inverted magnified image I1 is formed. The magnified image I1 acts as an object for the eye lens.

•The final image I2 is virtual and is magnified still further. It is inverted compared with the object.
 I2 may appear 1000 times larger than the object.
Magnifying Power




Definition:

Magnifying Power
         -the ratio of the size of the final image (I 2) as seen through the
         microscope to the size of the object as seen with a naked eye.
Physics behind…
Magnification produced by the objective is given by:
                    Mo= size of image / size of object
                        Mo= q1/ p1--------------- (1)

Magnification produced by the eye piece is given by:
                    Me= size of image / size of object
                                Me= q2/ p2
                        Me= d / p2--------------- (2)

Using thin lens formula for eye piece :
                       1/f2 = 1/q2 + 1/p2

                 Here f2 = fe, q2 = - d and p = p2
                   1/fe = 1/-d + 1/p2
                   1/fe = -1/d + 1/p2
                   Multiplying both sides by "d"
                   d/fe = -d/d + d/p2
                   d/fe = -1 + d/p2
                   1 + d/fe = d/p2
                   d/p2 = 1 + d/fe----------------(3)
                   Comparing equation (2) and (3)
                              Me = 1 + d/fe--------(4)
Total Magnification:

        M =Mo X Me
        M = (q1/p1)(1 + d/fe)
In order to get maximum magnification, we must decrease p 1 and increase
q1 .Thus maximum possible value of p1 is fo i.e p = fo and maximum possible
value of q1 is the length of microscope i.e q1 = L
  Therefore the magnification produced by a compound d microscope is
given by:



             M = (L/fO)(1 + d/fe)
Sources

• http://www.microscope.com/compound-microscope-history-t-4.html
• http://www.wisegeek.com/what-is-a-compound-microscope.htm
•Serway 




                                                                   fin. :D/

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Compound microscope

  • 4. A compound microscope is a microscope with two or more convex lenses. A light source is used to illuminate what is being observed. There are usually four objective lenses with magnifications of 4X, 10X, 40X, and 100X.
  • 5. Head Eyepiece Revolving Nosepiece Objectives Arm Coarse Adjustment Knob Stage Fine Adjustment Knob Diaphragm Illuminator Base
  • 6. Lenses • composed of two lenses: objective = short focal length eyepiece = focal length of few cm • lenses separated by some distance greater than either lens' focal length
  • 7. How does it work? • object placed outside the focal length of objective, forms inverted image near focal length of eyepiece • eyepiece magnifies the image • the lenses of a compound microscope bend the light that you shine from the bottom through the sample to make it seem larger. there are two lenses to add to (compound) the effect
  • 8. Image Formation •The object (O) is placed just outside Fo, the principal focus of the objective lens. •Fe is the principal focus of the eye lens. •A real, inverted magnified image I1 is formed. The magnified image I1 acts as an object for the eye lens. •The final image I2 is virtual and is magnified still further. It is inverted compared with the object. I2 may appear 1000 times larger than the object.
  • 9. Magnifying Power Definition: Magnifying Power -the ratio of the size of the final image (I 2) as seen through the microscope to the size of the object as seen with a naked eye.
  • 10. Physics behind… Magnification produced by the objective is given by: Mo= size of image / size of object Mo= q1/ p1--------------- (1) Magnification produced by the eye piece is given by: Me= size of image / size of object Me= q2/ p2 Me= d / p2--------------- (2) Using thin lens formula for eye piece :  1/f2 = 1/q2 + 1/p2 Here f2 = fe, q2 = - d and p = p2 1/fe = 1/-d + 1/p2 1/fe = -1/d + 1/p2 Multiplying both sides by "d" d/fe = -d/d + d/p2 d/fe = -1 + d/p2 1 + d/fe = d/p2 d/p2 = 1 + d/fe----------------(3) Comparing equation (2) and (3) Me = 1 + d/fe--------(4)
  • 11. Total Magnification: M =Mo X Me M = (q1/p1)(1 + d/fe) In order to get maximum magnification, we must decrease p 1 and increase q1 .Thus maximum possible value of p1 is fo i.e p = fo and maximum possible value of q1 is the length of microscope i.e q1 = L Therefore the magnification produced by a compound d microscope is given by: M = (L/fO)(1 + d/fe)