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If an image is formed by a spherical mirror with a magnification of +1, which of the following statements is true?
The image is real and equal in size to the object.
The image is virtual and half the size of the object.
The image is virtual and equal in size to the object.
The image is real and twice the size of the object.
The image is virtual and equal in size to the object.
Magnification (m) is the ratio of the height of the image to the height of the object. A magnification of +1 signifies that the image height equals the object height, while the positive sign indicates the image is virtual and erect.
Magnification (m) is the ratio of the height of the image to the height of the object. A magnification of +1 signifies that the image height equals the object height, while the positive sign indicates the image is virtual and erect.
This optical phenomenon is a characteristic property of plane mirrors, where magnification is always +1, and also occurs in spherical mirrors (concave mirrors) when an object is placed at the center of curvature (C).
If m > 0, the image is virtual and erect.
If m = 1, the image size is exactly the same as the object size.
If m < 0, the image is real and inverted.
A positive magnification means the image formed is virtual, which is true for plane mirrors and specific cases in convex/concave mirrors.
The magnitude |m| = 1 confirms the image is neither magnified nor diminished.
Option A is incorrect because real images are always inverted, resulting in a negative magnification.
Option B is incorrect because m=1 implies equal size, not half size.
C is correct тАФ An image with magnification +1 is virtual, erect, and equal in size to the object.
In competitive exams, remember that for a concave mirror, the image is real and same size only when the object is at the Center of Curvature (C), where m = -1. The +1 condition specifically denotes a virtual, same-sized image.
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