Question #3c1b4

1 Answer
Gió
Sep 6, 2015

I found:
Position=77cm
Real Image bigger and upside down.

Explanation:

Consider first the ray diagram:
enter image source here
You can see that the REAL image (formed by the crossing of real rays) will be upside down and quite far from the surface of the mirror.

We now use the mirror equation:
1/p+1/q=1/f to find the location q of the image:
1/27+1/q=1/20
q=77cm corresponding to the position of the screen.

The characteristics of the image can be found using the useruploads.socratic.org m formula:
m=-q/p=(h')/h
Where:
h=8cm height of object;
h'= height of image;
p=27cm>0
q=77cm>0

We get:
m=-77/27=-2.85 this tells us that the image will be upside down (- sign) and bigger (it will be h'=2.85*8~~23cm upside down)

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