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Where does the centre of curvature of a concave mirror lie?
At the centre of the mirror
Behind the mirror
At the edge of the mirror
In front of the mirror
In front of the mirror
The centre of curvature of a concave mirror is the center of the sphere of which the mirror is a part. For a concave mirror, this point lies in front of the reflecting surface.
The centre of curvature of a concave mirror is the center of the sphere of which the mirror is a part. For a concave mirror, this point lies in front of the reflecting surface.
Think of a shiny metal spoon; the inside bowl of the spoon is a concave mirror. If you place a small marble in the center of the imaginary sphere that the spoon would complete, that location is the centre of curvature, situated right in front of the spoon's bowl.
R=2f тАФ the radius of curvature (R) is twice the focal length (f)
A concave mirror is a spherical mirror where the reflecting surface is curved inwards. By definition, the centre of curvature (C) is the center of the original hollow glass sphere from which the mirror was cut. Since the light strikes the inner side of this spherical section, the centre of curvature is positioned on the same side as the object.
The centre of curvature is denoted by 'C'.
It is not a part of the mirror's surface but a geometric point in space.
For a concave mirror, the centre of curvature is real and in front of the mirror.
For a convex mirror, the centre of curvature is virtual and behind the mirror.
Used in solar furnaces to concentrate sunlight.
Used in shaving mirrors to get a magnified image.
The focal length (f) of a concave mirror is always negative in the Cartesian sign convention because it lies in front of the mirror.
Option A is incorrect because the centre of the mirror is the Pole (P).
Option B is incorrect because it describes the position of the centre of curvature for a convex mirror.
Option C is incorrect as the edge (aperture) is not related to the geometric centre of the sphere.
D is correct тАФ The centre of curvature of a concave mirror lies in front of the mirror.
Always remember the sign convention: distance measured in the direction of incident light is positive, and opposite is negative. Thus, for a concave mirror, C and F are always negative coordinates.
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