Question

2) (8 pts) An object is placed in front of a concave mirror of focal length f. _What is the image distance if the object distance is 2f? What type of image is formed if the object distance is 2f? _As the object moves toward the mirror and approaches the focal point, what does the image distance approach? _What is the magnification if the object distance is f?

Answer 1

Given data concave An object is placed in front of a of focal length f. missos If the object distance is af ? C - center of cuavatuse pobject f - focal length F Image Here " is the center of curvature of the concave mirror which will be the af distance. The object is placed at center of curvature (C) when the object is located at 'c', the image will also be located at the center of curvature image distance is af. so the (b) If the object is at af The image will be inverted. The The image dimensions are equal to the object dimensions. The image is a real image

y Object С f Image when the object approaches the focal point that is the object is located between C and f] . the image will be located beyond the center of curvature. Nevertheless of exactly where the object is located between cand f, the image will be located Somewhere beyond the center of curvature d) It the object is placed at / f object Image חד we have Missor formula t+t ㅗ f object distance Image distance f - Focal length

m = ya и Magnification of the object, We have object distance f Focal length = f So we can find the image distance, ✓ + u tot V <t st f - u- f fu fu uf Substituting u and f fa£ f 11 ₂ f - f ** V = - f -v m 11 magnification of the object >/ u -(f) = & f m Magnification of the object m=2