Possible positions of object in magnified concave mirror?

AI Thread Summary
An object magnified by a factor of 5 in a concave mirror with a focal length of 20 cm leads to the equations M=Hi/Ho=Di/Do and M=V/U. Using the mirror formula 1/F=1/V+1/U, the calculations yield U=-20 and V=10. This indicates that the object must be positioned at 20 cm from the mirror, and the image will be formed at 10 cm. The solution confirms the relationship between object distance, image distance, and magnification in concave mirrors. The calculations are consistent with the principles of optics.
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Homework Statement


An object is magnified, by a factor; of 5, in a concave mirror. The mirror has a focal length of 20cm.
Calculate ALL possible positions of the object.


Homework Equations


M=Hi/Ho=Di/Do
M=V/U
1/F=1/V+1/U


The Attempt at a Solution


1/20=1/V + 1/U
-1U=20V/V
U=-20
V=10
 
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