Magnification
In magnification, I keep confusing the signs. I don't know if the signs change when comparing converging and diverging lenses (apart from the focal point). I think that:
(a) real image = positive magnification
(b) virtual image = negative magnification
(c) upright/errected = positive magnification
(d) inverted/upside down = negative magnification.
But then when I try to do #12 on page 757 of Harris Benson's University Physics, "The focal length of a diverging lens is 20cm. Locate the object given that the image is (a) virtual, erect and 20% of the size of the object; (b) real, erect, and 150% of the size of the object."
For (a), I see virtual which means negative and erect which means positive so I conclude that the final magnification is negative. By this I mean 0.2 = q/p which leads me to the correct answer. However for (b), when I attempt to use the same logic, which is that since the image is real/positive and erect/positive, the concluding magnification should be positive as well, so it should be 1.5 = q/p. But the final answer is 6.67cm according to the solution manual I'm looking at and I do get that answer when I make 1.5 = q/p. I've been breaking my head for several days now with the signs and I still don't get it so I'd greatly appreciate a breakdown of all the situations that change the signs.
Thanks in advance.
