An object is placed between infinity and the pole (P) of a convex mirror. The position of the image is

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  1. between pole (P) and the focus (F), behind the mirror
  2. between the focus (F) and infinity, behind the mirror
  3. between the pole (P) and the infinity, in front of the mirror
  4. at the focus (F), behind the mirror

Answer (Detailed Solution Below)

Option 1 : between pole (P) and the focus (F), behind the mirror
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Detailed Solution

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The correct answer is option 1.

CONCEPT:

  • Convex mirror: If the outer surface of the spherical mirror is the reflecting surface then it is called a convex mirror. It is also called the diverging mirror.
    • The nature of the image formed by a convex mirror does not depend on the distance of the object from the mirror. These images are always virtual, smaller than the object, and situated behind the mirror.
  • Concave mirror: If the inner surface of the spherical mirror is the reflecting surface, then it is called a concave mirror. It is also called a focusing mirror/converging mirror.
    • The size of the image produced by these mirrors can be larger or smaller than the object, depending upon the distance of the object from the mirror.
    • The concave mirror can form both real as well as virtual images of any object.

EXPLANATION:

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  • The convex mirror always forms a virtual image that lies between the pole and the focus of the mirror. A virtual image is always erect.
  • The convex mirror always forms an image that is smaller than the size of the object.
  • When an object is placed in front of a convex mirror at a point between infinity and the pole of the mirror. The image formed is virtual, diminished, and erect.

Additional Information

Nature, position, and relative size of the image formed by a convex mirror.

Position of the Object

Position of the image

Size of the image

Nature of the image

At infinity

At the focus F, behind the mirror

Highly diminished, point-sized

Virtual and erect

Between infinity and the pole P of the mirror

Between P and F, behind the mirror

Diminished

Virtual and erect

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