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The centre of curvature of a concave mirror lies ________ the mirror, whereas it lies ________ the mirror for a convex mirror.
behind, behind
behind, in front of
in front of, in front of
in front of, behind
in front of, behind
The center of curvature of a concave mirror lies in front of the mirror because the reflecting surface is curved inwards. Conversely, for a convex mirror, the reflecting surface is curved outwards, causing the center of curvature to lie behind the mirror.
The center of curvature of a concave mirror lies in front of the mirror because the reflecting surface is curved inwards. Conversely, for a convex mirror, the reflecting surface is curved outwards, causing the center of curvature to lie behind the mirror.
Think of a concave mirror as the inside of a metal spoon where you see your inverted reflection, and a convex mirror as the back of the spoon, which bulges outward.
CAVE = In (in front); VEX = Back (behind).
R=2f тАФ where R is the radius of curvature and f is the focal length.
A spherical mirror is essentially a part of a hollow sphere. In a concave mirror, the center of this imaginary sphere is located on the same side as the reflecting surface (in front). In a convex mirror, the center of the sphere is located on the opposite side of the reflecting surface (behind the mirror).
Concave mirrors have a real center of curvature.
Convex mirrors have a virtual center of curvature.
The center of curvature is the center of the sphere of which the mirror is a part.
Concave mirrors: Shaving mirrors, headlights.
Convex mirrors: Rear-view mirrors in vehicles.
| Feature | Concave Mirror | Convex Mirror |
|---|---|---|
Center of Curvature Position | In front of mirror | Behind mirror |
The principal focus (F) also follows this same pattern for both mirrors.
Option D is the only choice that correctly places the center of curvature in front for concave and behind for convex.
D is correct тАФ The center of curvature for a concave mirror is located in front of its reflecting surface, while for a convex mirror, it is located behind the reflecting surface.
Always remember the sign convention: light travels from left to right; distances measured in the direction of light are positive, while those opposite are negative.