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A concave mirror can form a real, inverted and magnified image when the object is placed ____________.
at the pole
between the pole and the focus
beyond the centre of curvature
between the focus and the centre of curvature
between the focus and the centre of curvature
A concave mirror produces a real, inverted, and magnified image only when the object is placed between the focus (F) and the centre of curvature (C). In this specific position, the light rays converge beyond the centre of curvature, resulting in an image that is larger than the object and inverted.
A concave mirror produces a real, inverted, and magnified image only when the object is placed between the focus (F) and the centre of curvature (C). In this specific position, the light rays converge beyond the centre of curvature, resulting in an image that is larger than the object and inverted.
Think of a makeup mirror or a dentist's mirror; by moving your face to the right distance, you can shift from a small, distant view to a large, clear, and inverted-flip perspective as you cross the focal threshold.
F-C-I: Focus to Curvature produces Inverted and magnified. Remember 'F to C' results in a 'Beyond C' image.
f1тАЛ=v1тАЛ+u1тАЛ тАФ Mirror formula relating focal length (f), image distance (v), and object distance (u)
m=uтИТvтАЛ=hoтАЛhiтАЛтАЛ тАФ Magnification formula where hiтАЛ is image height and hoтАЛ is object height
When an object is placed between F and C, the ray passing parallel to the principal axis reflects through the focus, and the ray passing through the focus reflects parallel to the axis. These rays intersect at a point beyond C. Because the reflected rays actually meet at this point, the image is real, inverted, and magnified.
If object is at C, image is at C, real, inverted, and same size.
If object is beyond C, image is between F and C, real, inverted, and diminished.
If object is between P and F, image is virtual, erect, and magnified.
Concave mirrors are used in solar furnaces and searchlights due to their ability to converge light.
Provides high magnification for detailed observation
Real images can be projected onto a screen
Image is inverted (upside down) in this position
Subject to spherical aberration if the aperture is large
Used in projectors to magnify small slides
Used in high-quality telescopes
Standard sign convention: The object distance (u) is always negative for real objects.
Option A (at the pole): Image forms at the pole (virtual and erect).
Option B (between P and F): Image is virtual, erect, and magnified.
Option C (beyond C): Image is between F and C, real, inverted, and diminished.
D is correct тАФ When an object is placed between the focus and the centre of curvature of a concave mirror, the resulting image is real, inverted, and magnified.
Always remember the 'Object vs. Image' swap rule for concave mirrors: as the object moves closer to the mirror, the image moves further away and becomes larger.
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