The image formed by a concave mirror at the focal point (F) will be at infinity and will be highly diminished. The image formed by a concave mirror at twice the focal length (2F) will be inverted, real, and diminished.
When the object is placed at 2F in front of a convex lens, the image is formed at 2F on the other side of the lens. This is known as the "2F" image formation of a convex lens. The image is real, inverted, and the same size as the object.
In case of reflection at a concave mirror as the object is placed at its center of curvature we get the same size And in case of lens, as object is placed at 2F, we get same sized image
For a converging lens, the image formed by the 2F position is real, inverted, and smaller in size compared to the object. It is located at a distance equal to two times the focal length of the lens on the opposite side of the lens from the object.
Function of Convex lens: Convex lens causes parallel rays of light to converge after refraction. Also the following can also be considered as the functions of convex lens: 1.when the object is at infinity, convex lens forms the image at focus which is real and inverted. 2.when the object is beyond 2F, image is formed between F and 2F which is real, inverted and diminished. 3.when the object is at 2F ,image is formed at 2F,which is real , inverted and of same size. 4.when the object is between F and 2F, image is formed beyond 2F which is real,inverted and magnified. 5.when the object is at F,image is at infinity which is real inverted and very much magnified. 6.when the object is between F and C, image is formed beyond 2F and behind the object which is virtual, erect and magnified.
When the object is located at a location beyond the 2F point, the image will always be located somewhere in between the 2F point and the focal point (F) on the other side of the lens. Regardless of exactly where the object is located, the image will be located in this specified region. In this case, the image will be an inverted image. That is to say, if the object is right side up, then the image is upside down. In this case, the image is reduced in size.
When the object is placed at 2F in front of a convex lens, the image is formed at 2F on the other side of the lens. This is known as the "2F" image formation of a convex lens. The image is real, inverted, and the same size as the object.
When the object is located at a location beyond the 2F point, the image will always be located somewhere in between the 2F point and the focal point (F) on the other side of the lens.
To draw the principal axis for a concave mirror, start by sketching a horizontal line that represents the principal axis. Then, draw the concave mirror as a curved line facing the incoming light, with the reflective surface on the inside of the curve. Mark the focal point (F) on the principal axis at a distance equal to the focal length from the mirror's surface, and indicate the center of curvature (C) at twice that distance (2F) from the mirror. This principal axis is essential for understanding how light rays reflect off the mirror.
In case of reflection at a concave mirror as the object is placed at its center of curvature we get the same size And in case of lens, as object is placed at 2F, we get same sized image
For a converging lens, the image formed by the 2F position is real, inverted, and smaller in size compared to the object. It is located at a distance equal to two times the focal length of the lens on the opposite side of the lens from the object.
Function of Convex lens: Convex lens causes parallel rays of light to converge after refraction. Also the following can also be considered as the functions of convex lens: 1.when the object is at infinity, convex lens forms the image at focus which is real and inverted. 2.when the object is beyond 2F, image is formed between F and 2F which is real, inverted and diminished. 3.when the object is at 2F ,image is formed at 2F,which is real , inverted and of same size. 4.when the object is between F and 2F, image is formed beyond 2F which is real,inverted and magnified. 5.when the object is at F,image is at infinity which is real inverted and very much magnified. 6.when the object is between F and C, image is formed beyond 2F and behind the object which is virtual, erect and magnified.
Consider a ray of light AB, parallel to the principal axis, incident on a spherical mirror at point B. The normal to the surface at point B is CB and CP = CB = R, is the radius of curvature. The ray AB, after reflection from mirror will pass through F (concave mirror) or will appear to diverge from F (convex mirror) and obeys law of reflection, i.e., i = r. From the geometry of the figure, If the aperture of the mirror is small, B lies close to P, BF = PF or FC = FP = PF or PC = PF + FC = PF + PF or R = 2 PF = 2f or F=R/2 or 2F=R Hope this helps............
When the object is located at a location beyond the 2F point, the image will always be located somewhere in between the 2F point and the focal point (F) on the other side of the lens. Regardless of exactly where the object is located, the image will be located in this specified region. In this case, the image will be an inverted image. That is to say, if the object is right side up, then the image is upside down. In this case, the image is reduced in size.
When the object is positioned at more than twice the focal length of a convex lens, the image formed is real, inverted, and smaller in size. The image is formed between the focal point and the optical center of the lens.
Yes it is possible. When the object is kept in between F and 2F, then an enlarged real but inverted image is got beyond 2F on the other side of the lens.
As shown in the figure, a paraxial ray is incident at point Q on a concave mirror. q = angle of incidence = angle of reflection = Ð CQF = Ð QCF ( by geometry ) So, for D CFQ, exterior Ð QFP = Ð CQF + Ð QCF = 2q . For paraxial incident ray and small aperture, CP' » CP = R and FP' » FP = f. For small aperture, 2q is very small. \ from the figure, 2q » FP QP = f QP … ( 1 ) and q = CP QP = R QP … ( 2 ) From equations ( 1 ) and ( 2 ), R = 2f ⇒ f = R / 2 Thus, focal length of a concave mirror is half its radius of curvature.
IMAGE: Size (smaller, larger, same). Attitude (Upright, inverted). Location (beyond 2F, between F and 2F, same side of object) note: if image is at F, there will be no SALT because there won't be a clear image. Type (Real- can be formed on the screen and light rays meet after refraction, Virtual-cannot be formed on the screen and light rays do not meet after refraction).