# Determining the focal length of a concave mirror by locating centre of curvature

The focal length (f) of a lens is the distance between the center of the lens and the point at which the reflected light, of a beam of light travelling parallel to the center line, meets the. The experimental setup for measuring the focal length of a concave mirror consists (figure 7 and 8) of a base b on which are placed a) the concave mirror m we want to determine the focal length, b) the principal axis oo΄ of the mirror is engraved on the. To measure the focal length of a concave mirror we have already seen (fig 227) that when an object is placed at the centre of curvature of a concave mirror a real image is formed at the same place as the object.

A telescope mirror is a concave mirror such as a satelite dish or the hubble space telescope, that is used to form a real image of a far-away object (we will find that far away means farther away than the focal point. The focal length, is positive for a concave mirror, and negative for a convex mirror when the image distance is positive, the image is on the same side of the mirror as the object, and it is real and inverted. The distance from the pole to the principal focus of a concave mirror is known as focal length of a concave mirror if u is the object distance and v is the image distance of the concave lens. The focal length of a concave mirror may also be estimated using this method now, as we know the approximate focal length of the convex lens, keep an object- an optical pin or a lit candle in front of the convex lens at a distance around 2 times the rough focal length determined and place a screen on the other side so as to form a real image.

How is focal length related to radius of curvature mirror formula definition : the equation relating the object distance (u) the image distance (v) and the mirror focal length (f) is called the mirror formula a concave mirror is made up by cutting a portion of a hollow glass sphere of radius 30 cm calculate the focal length of the mirror. Concave mirror equation calculator online physics calculator that calculates the concave mirror equation from the given values of object distance (do), the image distance (di), and the focal length (f. Focal length - the distance between the pole p of the concave mirror and the focus f is the focal length of the concave mirror thus, the focal length of a concave mirror can be estimated by obtaining a 'real image' of a distant object at its focus, as shown in the figure. Aim to determine the focal length of concave mirror by obtaining the image of a distant object materials required a concave mirror, a mirror holder, a small screen fixed on a stand, a measuring scale and a distant object (a tree visible clearly through an open window.

Best answer: for a spherical concave mirror (which is not an ideal reflector) the radius of curvature is twice the focal length the focal length is the distance from the mirror that parallel light rays falling on it will all be reflected and converge at the same point. Principal focus or focal length g focus a center of curvature (c) : the center of curvature of a spherical mirror is the point in the centre of the mirror which passes through the curve of the mirror and has the same tangent and curvature at that point it is denoted by the letter ‘c’ example of a concave mirror (source. The focal length of a mirror is the distance to the focal point, which is the point midway between the geometric center or vertex of the mirror and the center of curvature of the mirror the center of curvature of a mirror is the point in the center of the sphere from which the mirror is cut.

Finally, the distance from the mirror to the focal point is known as the focal length (represented by f) since the focal point is the midpoint of the line segment adjoining the vertex and the center of curvature, the focal length would be one-half the radius of curvature. The location of the focal point is determined by the following equation f= 1/2r this means that the focal point is half the distance of the radius, therefore it is half way between the centre of curvature and the vertex. Focal length calculator relate optical and mechanical parameters of simple lenses in order to ease integration into application assemblies select index from list of eo's own optical substrates to help calculate focal lengths and principal points of any standard lens. Focal length and radius of curvature of a concave mirror are positive where as that of convex mirror negative mirror formula for convex mirror when real image is formed let ab be an object lying beyond the focus of a concave mirror. The reference beam reflects at r, l is the test lens, and the mirror m is placed slightly away from the lens focal point, at distance u1 hartmann sensor is used to determine the radius of curvature r of the wavefront coming out of the test lens this tutorial describes methods for measuring a lens focal length most of them use.

## Determining the focal length of a concave mirror by locating centre of curvature

What are some ways of finding the center of curvature of concave and convex mirrors (spherical) for example, i can double the distance of focal length on the principle axis to find the center of curvature of concave mirror. 18 an object is located 45 cm in front of a convex mirror which has a radius of curvature of 20 cm what is the magnification 19 an object is located 30 cm in front of a concave mirror which has a focal length of 40 cm. In other words, the focal length of a concave mirror, with a real focus, is always positive, and the focal length of a convex mirror, with a virtual focus, is always negative table 6 shows how the location and character of the image formed in a convex spherical mirror depend on the location of the object, according to eqs.

- Cbse class 10 science practical skills – focal length of concave mirror and convex lens august 26, to determine the focal length of a concave mirror, a student focusses a classroom window, a distant tree and the sun on the screen with the help of a concave mirror the ray of light passing through the centre of curvature of a concave.
- The purpose of this activity is to measure the focal length of a concave mirror use a light source, concave mirror, and half screen accessory on an optics bench to measure the focal length curvature and is denoted by the letter c in the diagram 3 how might you determine the focal length more accurately 4 what is the orientation of.

To find the focal length of a convex mirror, using a convex lens aim to find the focal length of a convex mirror, using a convex lens in the absence of convex mirror, these rays would have met at centre of curvature c of the convex mirror the distance pc gives the radius of curvature r of the mirror the focal length of concave mirror. In other words, in the paraxial approximation, the focal length of a concave spherical mirror is half of its radius of curvature equations ( 355 ) and ( 357 ) can be combined to give (358. Spherical mirror equation the equation for image formation by rays near the optic axis (paraxial rays) of a mirror has the same form as the thin lens equation if the cartesian sign convention is used: from the geometry of the spherical mirror, note that the focal length is half the radius of curvature.