I am having some trouble with this problem. 1) An object 20cm to the left of a c

Question

I am having some trouble with this problem.
1) An object 20cm to the left of a convex lens is 1.0m in height. What is the height and location of the image if the lens has a magnification of -2.0? ______m and _____cm on the (choose one) left/right side of the lens.

2. Your optometrist tells you that she will need to increase your prescription because as it turns out light is focusing "too soon" or in front of your retina. You respond "Obviously I will need a (choose one) converging/diverging lens with a higher/lower focal distance."

Explanation / Answer

Given    object distance of convex lens d o = 20 cm     heightof the object   h o   = 1 m     magnification of the lens is    M = - 2       magnification            M = - d i / d o   = h i / h o        heigth of the image                h i   = m h o                       = - 2 * 1 m = -2 m    negative sign represents inverted image        image distance             d i   = - 2 * - 20                      = 40 cm As per rules please post one question per one post

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