Multiple optics refers to any system of more than one optical instrument through
ID: 1389344 • Letter: M
Question
Multiple optics refers to any system of more than one optical instrument through which light passes. In multiple optics, the image of one optical instrument becomes the object of the next one.
Find the image created by the first optical instrument that the rays encounter.
Use that image as the object of the next optical instrument.
Repeating this pattern until you have followed the rays all the way through the system.
It is very important to be alert to the geometry and to signs when you find the object distance for one instrument from the location of the previous instrument's image. Sometimes, the image is formed on the virtual side of the instrument, leading to a virtual object. Also keep in mind object and image distances in your calculations are from the device being used in that specific calculation.
Several optical instruments are placed along the xaxis, with their axes aligned along the x axis. A lens with focal length of 4.5cm , is placed 18.2cm , in front of a mirror with focal length -2.8cm . An object is placed a distance of 2.1cm in front of the lens.
In order to find the location of the final image of the object formed by this system, you will need to trace the rays through the system, instrument by instrument. You are strongly advised to draw a picture with the x axis and the location of the lens, mirror, and object marked. Then, as you proceed through the problem, you can mark where each image is located.
First, find the location of the image created by the lens by itself (as if no other instruments were present).
i1 = cmExplanation / Answer
A lens with focal length of 4.5cm , is placed 18.2cm , in front of a mirror with focal length -2.8cm . An object is placed a distance of 2.1cm in front of the lens.
f = focal length = 4.5 cm
do = object distance from lens = 2.1 cm
di = image distance
Using the lens equation ::
1/f = 1/di + 1/do
1/4.5 = 1/di + 1/(2.1)
di = - 3.94 cm
as the image distance is negative , the image formed is virtual on the same side as the object.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.