(a) A concave spherical mirror forms an inverted image 4.00 times larger than th

Question

(a) A concave spherical mirror forms an inverted image 4.00 times larger than the object. Assuming the distance between object and image is 0.400 m, find the focal length of the mirror (b) Suppose the mirror is convex. The distance between the image and the object is the same as in part (a), but the image is 0.500 the size of the object. Determine the focal length of the mirror Need Help? Le wa Submit Answer Save Progress Practice Another Version -3 points SerP5E9 36.P 025 M My Notes Ask Your Teache A spherical mirror is to be used to form an image 2.60 times the size of an object on a screen located 4.80 m from the object. (a) Is the mirror required concave or convex? convex (b) What is the required radius of curvature of the mirror? (c) Where should the mirror be positioned relative to the object? m from the obiect

Explanation / Answer

since the imgae is inverted its a real image

1/f = 1/v - 1/u

magnification == v/u = h_image/h_object

v= 4u

so : 1/4u - 1/u = 1/f

-3/4u = 1/f

also mod(v-u) = 0.4 m so 3u = 0.4   

u = 0.4/3

so f = 4*0.4/3 = 1.6/3 = 0.533 metres

b) since the mirror is convex

v = -u

v/u = -0.5

-2/u - 1/u = 1/f

also u = -0.8/3 v = 0.4/3

-3/u = 1/f

f = 0.8/9 = 0.089 metres

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