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The centre of curvature of a concave mirror lies ________ the mirror, whereas it lies ________ the mirror for a convex mirror.
in front of; in front of
behind; behind
behind; in front of
in front of; behind
in front of; behind
The center of curvature of a concave mirror is located in front of its reflecting surface, as the mirror is part of a sphere whose center lies in front of the reflecting side. Conversely, for a convex mirror, the reflecting surface is curved outwards, placing the center of curvature behind the mirror.
The center of curvature of a concave mirror is located in front of its reflecting surface, as the mirror is part of a sphere whose center lies in front of the reflecting side. Conversely, for a convex mirror, the reflecting surface is curved outwards, placing the center of curvature behind the mirror.
Think of a bowl: the inside of the bowl is the concave side (center is inside the bowl), and the back of the bowl is the convex side (center is behind the bowl structure).
Concave = C in front, Convex = C behind (C=Center of curvature).
R=2f тАФ where R is the radius of curvature and f is the focal length.
f=2RтАЛ тАФ the relationship between focal length and radius of curvature.
A spherical mirror is a part of a hollow sphere of glass. In a concave mirror, the outer surface is silvered, so the reflecting inner surface faces the center of the sphere, which is 'in front' of the mirror. In a convex mirror, the inner surface is silvered, meaning the center of the sphere is on the side opposite the reflecting surface, or 'behind' the mirror.
A concave mirror is a converging mirror.
A convex mirror is a diverging mirror.
The center of curvature (C) is equidistant from all points on the reflecting surface.
For a concave mirror, R is considered negative in Cartesian sign convention.
For a convex mirror, R is considered positive in Cartesian sign convention.
Concave mirrors used in shaving mirrors and headlights.
Convex mirrors used in rearview vehicle mirrors for a wider field of view.
| Feature | Concave Mirror | Convex Mirror |
|---|---|---|
Center of Curvature Position | In front of | Behind |
The principal focus (F) also follows the same convention: it is in front of a concave mirror and behind a convex mirror.
Option A (in front of; in front of) is incorrect because it misidentifies the convex mirror.
Option B (behind; behind) is incorrect because it misidentifies the concave mirror.
Option C (behind; in front of) is completely inverted.
D is correct тАФ The center of curvature for a concave mirror is in front of the reflecting surface, whereas for a convex mirror, it is behind the reflecting surface.
Always relate the center of curvature position to the side where the light strikes; the center always lies on the 'inner' hollow side of the spherical shell segment.
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