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A convex mirror and a plane mirror are a...

A convex mirror and a plane mirror are arranged facing an object as shown in the figure below. If there is no parallax between the images formed by the two mirrors, then find the radius of curvature of the convex mirror?

Text Solution

Verified by Experts

(a) Relation between object distance and image distance for a plane mirror
(b) Mirror formula for a convex mirror
(c) Relation between focal length and radius of curvature.
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Knowledge Check

  • Image formed by a convex mirror is

    A
    Virtual
    B
    Real
    C
    Enlarged
    D
    Inverted

  • Image formed by a convex mirror is

    A
    virtual
    B
    erect
    C
    smaller in size than the object
    D
    All of the above

  • An object is placed in front of a convex mirror at a distance of 50cm. A plane mirror is introduced covering the lower half of the convex mirror. If the distance between the object and the plane mirror is 30cm, it is found that there is no parallax between the images formed by the two mirrors. What is the radius of curvature of the convex mirror?

    A
    25cm
    B
    7cm
    C
    18cm
    D
    27cm

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