Reminder: What to know heading into Tuesday Feb. 19:
I said to complete your summary knowledge of the following by the time you come to class on Tuesday Feb. 19. Know the answers to each of the 14 questions below:
M1) Which of the four unique spherical mirror setups* lead to an image that is inverted?
* A "spherical mirror setup" means where is the object set in relation to the glass, the point F, and the point that is the center of the circle. There are 4 possibilities: A) p < f on the concave side. B) f < p < 2f on the concave side, C) 2f < p on the concave side, D) p on the convex side.
M2) Which of the four unique spherical mirror setups* lead to an image that is non-inverted?
M3) Which of the four unique spherical mirror setups* lead to an image that is real?
M4) Which of the four unique spherical mirror setups* lead to an image that is virtual?
M5) Which of the four unique spherical mirror setups* lead to an image that is enlarged?
M6) Which of the four unique spherical mirror setups* lead to an image that is diminished?
M7) Are any pairs of answers above always the same?
Good news, now we turn to thin spherically-based lenses. And every pattern in the spherical mirrors has a one-to-one counterpart in the thin spherically-based lenses. So for thin spherically-based lenses, the questions whose answers to know are:
L1) Which of the four unique lens setups* lead to an image that is inverted?
* A "lens setup" means where is the object set in relation to the glass, the point F, and the point F2 that is located 2f from the center axis of the glass. There are 4 possibilities: A) p < f near a convex lens. B) f < p < 2f near a convex lens, C) 2f < p near a convex lens, D) p being any distance from a concave lens.
L2) Which of the four unique lens setups* lead to an image that is non-inverted?
L3) Which of the four unique lens setups* lead to an image that is real?
L4) Which of the four unique lens setups* lead to an image that is virtual?
L5) Which of the four unique lens setups* lead to an image that is enlarged?
L6) Which of the four unique lens setups* lead to an image that is diminished?
L7) Are any pairs of answers above always the same?
A careful look at the excellent ray tracing diagrams in the book answers all of the questions above. Please know all of it. It's what I said to do last class. I fully described the assigned task thoroughly in class, and I said I'd give you a written list as well, which is what this posting has done.
Deeper knowledge beyond what's above. Know how to perform proofs using algebra that answer each of the above. I didn't say you had to have algebraic proofs mastered by the start of class on 2/19. I just said you had to know the facts that answer the above questions.
More deeper knowledge: know how to do all ray tracing that answers everything above. I didn't say you had to have all ray tracing mastered by the start of class on 2/19. I just said you had to know the facts that answer the above questions. (If you are caught up, you can do all mirror ray tracing, but maybe not all lens ray tracing.)
And finally, you might wonder, "What about the question of image location as a question to answer above: is the image closer to the glass than object or farther?" Do you see that that question is now answered by M5, M6, L5, and L6, and therefore is not unique? This is because M = -q/p. This means the absolute value of magnification will tell you how q's magnitude compares to p's. Answering that is the same thing as answering "Is the image closer to the glass than object or farther?"