The magnification is the ratio of the image size to the object size will be m=-4
What is magnification?
Magnification of the lens is defined as the ratio of the size of image to the size of object. It is also defined as the ratio of the distance of image to the distance of the object from the lens.
Mathematically it is defined as:
[tex]M=\dfrac{S_i}{S_o}=\dfrac{V}{u}[/tex]
[tex]S_i[/tex] = Size of the image
[tex]S_o[/tex] = Size of object
[tex]V[/tex] = Distance of the image
[tex]u[/tex] = Distance of the image
It is given in the question
Size of image = 4 cm
Size of the object = 1 cm
Since the image is inverted to magnification will be given by
[tex]M=\dfrac{-v}{u}[/tex]
[tex]M=\dfrac{-4}{1}=-4[/tex]
Thus the magnification of the inverted image will be M=-4
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