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PH 103 Dr. Cecilia Vogel Lecture 9 Review Lenses more corrective lenses application to magnifier Angular size and angular magnification Outline Multiple Lenses application to microscope and telescope Multiple Lenses Two lenses -- can do more than cases we discussed for single lens If you use more than one lens, you can get different results than cases I, II, III. Just like with mirrors, You can make an image of an image with lenses, too. Multiple Lenses Making an image of an image with 2 lenses: The first lens the light goes through makes the first image. Then that first image, acts as the “object” that the second lens will make an image of. You get a second image, which you see. If there are more than two lenses, continue this process previous lens’ image is next lens’ “object” Microscope Two lenses -- can do more magnification than a simple magnifier can Compound microscope uses 2 lenses. Type of lenses used in microscope: two converging lenses objective lens is near object eyepiece (or ocular) lens is near eye Microscope Objective lens is case I original object is further than f but near the focal point so image is large (Java applet) So first image produced by objective lens is real and inverted and larger mobj = -di/do -di/fobj Microscope Eyepiece lens acts like simple magnifier Meye = N/do N/feye Overall magnification multiply the individual magnifications M = -(di/fobj)(N/feye) di N M M f obj f eye ( L f eye ) N f obj f eye L = tube length Usually |M| is given Microscope M ( L f eye ) N f obj f eye What should you do to each to make a stronger microscope? objective -- shorter fobj tube length -- make it longer, so di can be bigger. eyepiece -- shorter feye final image Refracting Telescope I Refracting telescope also uses two converging lenses One style is like microscope, except the original object is far away. The first image is NOT magnified makes sense, huh? final image =very far! Image as Real Object Note that in the telescope at right, the first image which acts as the object for the second lens is in front of the second lens the object for the 2nd lens is in front of the lens, so it is a real object =very far! Refracting Telescope I The image is inverted for this type of telescope the original object is real, and the first image is real, so the magnification due to the first lens is –di/do = -(+)/(+)=(-) Then the 2nd object is real, and the 2nd image is virtual so the magnification due to the 2nd lens is –di/do = -(-)/(+)=(+) The overall magnification is (-)(+) =(-) =very far! Refracting Telescope II Another style of telescope is like microscope, except… the original object is far away, and the first image becomes a VIRTUAL object for the second lens =very far! Image as Virtual Object What if the first image which acts as the object for the second lens final image is behind the second lens? the object for the 2nd lens is behind the lens, so it is a virtual object & the object distance is negative =very far! Refracting Telescope II The image is upright for this type of telescope the original object is real, and the first image is real, so the magnification due to the first lens is –di/do = -(+)/(+)=(-) Then the 2nd object is VIRTUAL, and the 2nd image is virtual so the magnification due to the 2nd lens is –di/do = -(-)/(-)=(-) The overall magnification is (-)(-) =(+) =very far!