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What type of image does a concave lens form when an object is placed at infinity?
Real, inverted and same size
Virtual, erect and point sized
Virtual, erect and larger
Real, erect and point sized
Virtual, erect and point sized
A concave lens is a diverging lens that always forms a virtual, erect, and diminished image regardless of the object's position. When an object is placed at infinity, the light rays parallel to the principal axis diverge after refraction, appearing to meet at the principal focus F1тАЛ, forming a highly diminished (point-sized) image.
A concave lens is a diverging lens that always forms a virtual, erect, and diminished image regardless of the object's position. When an object is placed at infinity, the light rays parallel to the principal axis diverge after refraction, appearing to meet at the principal focus F1тАЛ, forming a highly diminished (point-sized) image.
Think of a concave lens like a megaphone for light rays: parallel sound waves go in, but they spread outward (diverge) as they leave. If you traced the spreading sound back to its apparent starting point, it would look like it originated from a tiny single point.
V-E-D for Concave: Virtual, Erect, Diminished тАФ a concave lens ALWAYS creates VED images!
f1тАЛ=v1тАЛтИТu1тАЛ тАФ Lens Formula
m=uvтАЛ=hoтАЛhiтАЛтАЛ тАФ Magnification of a Lens
P=f┬а(in┬аmeters)1тАЛ тАФ Power of a Lens (negative for concave lens)
Light rays originating from an object at infinity travel parallel to the principal axis. Upon passing through a concave lens, these rays diverge outward away from the optical center according to Snell's Law of Refraction. Tracing these diverged rays backward shows they intersect virtually at the principal focus on the same side as the object, forming a virtual, erect, and point-sized image.
For an object at infinity (u=тИТтИЮ), the image is formed at the principal focus (v=тИТf).
A concave lens has negative focal length (f<0) and negative optical power (P<0).
The magnification produced by a concave lens when u=тИТтИЮ is mтЖТ0, indicating a point-sized image.
Produces a wider field of view, making it ideal for wide-angle viewports and vision correction.
Always produces upright (erect) images without risk of image inversion.
Cannot project images onto a screen because the formed images are always virtual.
Always reduces the size of the image, making objects appear smaller than they are.
Correction of Myopia (short-sightedness) in eyeglasses.
Peepholes in doors (spyholes) to provide a wide-angle view of outside visitors.
Lasers and flashlights to spread or diverge the light beam.
Option A (Real, inverted, same size) occurs in a convex lens when the object is at 2F1тАЛ.
Option C (Virtual, erect, larger) occurs in a convex lens when the object is between the focus F1тАЛ and optical center O.
Option D (Real, erect, point sized) is incorrect because real images formed by single spherical lenses are always inverted, not erect.
B is correct тАФ A concave lens diverges light rays parallel to the principal axis, forming a virtual, erect, and point-sized image at its focus when the object is at infinity.
For competitive exams, remember: Concave Lenses and Convex Mirrors share identical image characteristics (always Virtual, Erect, and Diminished), whereas Convex Lenses and Concave Mirrors share parallel rules for real image formation!