in the figure below determine the point A convex spherical mirror has a focal le

Question

in the figure below determine the point A convex spherical mirror has a focal length of magnitude 8.65 cm. (a) What is the location of an object for which the magnitude of the image distance is one-fifth the magnitude of the object distance? 1.75 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. cm from the mirror. (b) Find the magnification of the image. (c) State whether it is upright or inverted. upright inverted

Explanation / Answer

1 / di + 1 / do = 1 / f ;

m= -di / do = 1/5

so do = -5di ;

1 / ( di ) + 1 / (-5di )= 1 / 8.65

image distance is di = 6.92 cm

object distance is do = -5di = - 5*6.92cm = 34.6 cm

b) magnification = ( -di/do) = -1/5 = -0.2

c) image distance is positive so image is real and inverted

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