A student observes an image that is inverted and smaller than the object when using a mirror. What type of magnification is being observed?
The magnification is less than one and negative
The linear magnification produced by a mirror is defined as the height of the image divided by the height of the object, with a sign that indicates orientation. An inverted image (image on the opposite side of the axis from the object) is given a negative sign, while an upright image is given a positive sign. An image smaller than the object has a magnification whose magnitude is less than one, and one larger than the object has a magnitude greater than one.
The student sees an image that is both inverted and smaller than the object. Inverted means the sign is negative, and smaller means the magnitude is less than one. So the magnification is less than one in size and negative in sign.
Hence, the answer is The magnification is less than one and negative.
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