Question

Your height as you dress in front of a spherical mirror in the morning for your 7:30 class is h. The absolute value of the focal length of the spherical mirror is38,9 cm. If your image has the same uprigh orientation with its height h'=0.1069h, then calculate how far (in cm) you are standing from the mirror

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Answer 1

20.329 m is uprite And focal length is negative (all Given height of object : focal length, $ = 38.9 em Image height of image = h'= 0.1069h To calculate V -.? Solutions From given information magnification of mirros es = 0.1069 h m = 0.1069 _ the magnification is less than image is smaller than the object It is conves mirror & for merror positive m= h' и une convenc image distance is always

Now _magnificalim in terms of distance image & object distance u O: 1069 V egn u formula using mirror we calculate value ofv in terms of uff #vg <t G u v uck ut ut Tot eg" (2 put the value of u in egna . 1069 . - ub u-b प्प u²6 (0.1069) 4-6

0.1069 41 - 0 10 69 XF0:389) 2 - uch) -le? t + 0.10694 + 0.4305 = 0 0.38944 0.1069 u +0.4305-0 By using sign conversion for't By solving this quadratic equcetico u= -0.923522 1.198 33 ab object distance is always negative, . l=-0.9235 m U-92.255 cm . You are standing 92: 23 cm from the missor