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Object position for a required magnification by a spherical mirror

This type of question, asked 3 times: 29 Jan 2024, 4 Apr 2025, 6 Apr 2026 S2. All 3 questions below, oldest first.

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  1. Question 1

    29 Jan 2024

    4
    A convex mirror of radius of curvature 30 cm30\text{ }cm forms an image that is half the size of the object. The object distance is:

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  2. Question 2

    4 Apr 2025

    9
    When an object is placed 40 cm away from a spherical mirror an image of magnification 12\frac{1}{2} is produced. To obtain an image with magnification of 13\frac{1}{3}, the object is to be moved :

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  3. Question 3

    6 Apr 2026 S2

    25
    A concave mirror of focal length 10 cm forms an image which is double the size of object when the object is placed at two different positions. The distance between the two positions of the object is ____\_\_\_\_ cm.