Mirage

Do a theoretical analysis of the optical device called the Mirage. A penny placed on the bottom spherical mirror (shown in the figure on the left) produces an image in the hole of the upper spherical mirror when inverted and placed on the bottom mirror (shown in the figure on the right).

Answer the following questions clearly and completely. You will be able to determine some answers by direct measurement in class and others from theoretical calculations.

1. How many optical elements are there?

2. What is the radius of curvature of each mirror? Is the numerical value positive or negative?

3. What is the separation of the vertices of each mirror? Be sure to measure this in class.

4. What and where is the object for each element? Is the numerical value positive or negative?

5. What is the nature of each object (virtual or real, erect or inverted, magnification)?

6. What and where is the image for each element?Is the numerical value positive or negative?

7. What is the nature of each image (virtual or real, erect or inverted, magnification)?

8. Is there more than one separation of vertices for which this device works? Please elaborate.

This is a problem from Physics 3213.