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An object is placed in front of a mirror, and the magnification of the system is +12. Which of the following is true?Group of answer choicesThe image is real and diminished.The image is virtual and enlarged.The image is real and enlarged.The image is virtual and diminished.

Question

An object is placed in front of a mirror, and the magnification of the system is +12. Which of the following is true?Group of answer choicesThe image is real and diminished.The image is virtual and enlarged.The image is real and enlarged.The image is virtual and diminished.

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Solution

The image is virtual and enlarged.

Here's why:

The magnification of a mirror is given by the ratio of the image height to the object height. The sign of the magnification gives information about the orientation of the image.

If the magnification is positive, as in this case, it means the image is upright, which is a characteristic of virtual images.

The absolute value of the magnification gives the size of the image relative to the object. If the absolute value is greater than 1, as in this case (12), it means the image is larger than the object.

So, in this case, the image is virtual (because the magnification is positive) and enlarged (because the absolute value of the magnification is greater than 1).

This problem has been solved

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