Radius of curvature and focal length ofconcave mirror

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The focal length f is negative in a concave mirror, and in a convex mirror, the focal length f is positive. Similarly, the radius of curvature is negative in the concave mirror and positive and convex mirror.

There are two types of spherical mirrors: concave mirrors and convex mirrors. However, in a concave mirror, the inner side of the spherical mirror is reflected. In contrast, in a convex mirror, when the outer side of the spherical mirror is reflecting.

The radius of curvature is twice the focal length, or focal length is half of the radius of curvature. However, both conditions are the same. In addition, both the concave and convex mirrors experienced the exact relationship between the focal length and the radius of curvature.

The focal length f is negative in a concave mirror, and in a convex mirror, the focal length f is positive. Similarly, the radius of curvature is negative in the concave mirror and positive and convex mirror.

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The distance between the centre of curvature and the principal axis is the radius of curvature. However, the distance between the focus and the principal axis is the focal length of a spherical mirror. There is also a relationship between the focal length and the radius of curvature; the radius of curvature is twice the focal length.

Radius of curvature and focal lengthformula

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Linear magnification is related to the spherical mirror in image formation. However, the radius of curvature derivation is very easy because it all depends upon formulas.

Radius of curvature ofmirror formula

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Relation betweenfocal length and radius of curvature andrefractive index

Thus, this relationship is also applicable for convex mirrors. According to the derivation, the radius of curvature is equal to the toys of focal length in a spherical mirror. Hence we can say that R = 2f.

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There are some terms that you should know before proving the relationship between the focal length and the radius of curvature. However, they are:

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Radius of curvature and focal lengthcalculator

There are two types of spherical mirrors: concave mirrors and convex mirrors. However, in a concave mirror, the inner side of the spherical mirror is reflected. In contrast, in a convex mirror, when the outer side of the spherical mirror is reflecting.

It has been found that the focal length of a spherical mirror, whether it is concave or convex, is equal to half of its radius of curvature. However, both concave and convex mirrors have the same relationship between focal length and radius of curvature.

In the diagram given above, M and N represent the spherical mirror. However, P is the principal axis, C is the centre of curvature, F is the focal point where the two rays meet each other. In addition, the distance between the C and P is called the radius of curvature, and the distance between F and P is called the focal length.

where the linear magnification is denoted by m,  the mirror image by I, and the object by O. The most appropriate example for linear magnification is the microscope.

In conclusion, you must have to clear your concept related to principles, formation of image of spherical mirror, concave and convex mirror.

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The distance between the centre of curvature and the principal axis is the radius of curvature. However, the distance between the focus and the principal axis is the focal length of a spherical mirror. There is also a relationship between the focal length and the radius of curvature; the radius of curvature is twice the focal length.

When the ratio of the size of the image and the object’s size is perpendicular on the optical axis. So that condition is known as linear magnification. There is no SI unit of Linear Magnificent. As the formula of linear magnification is:-                              m = I/O  where the linear magnification is denoted by m,  the mirror image by I, and the object by O. The most appropriate example for linear magnification is the microscope.

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When the ratio of the size of the image and the object’s size is perpendicular on the optical axis. So that condition is known as linear magnification. There is no SI unit of Linear Magnificent. As the formula of linear magnification is:-

Radius of curvature and focal lengthderivation

The ray of light incident on the mirror is parallel to the principal axis. The ray of light AB generally strikes on the surface. CP is equal to R (radius of curvature ). However, when the two parallel rays A and B strike on the mirror, they reflect and pass through the focus point. As the law of reflection is followed, i = r,

In addition, the radius of the hollow sphere of which the spherical mirror is a part is called the radius of curvature of the spherical mirror. In other words, one can also say that the distance between the pole and the centre of curvature of the spherical mirror is called its radius of curvature. It is denoted by R. Additionally, the distance between the pole and focus is the focal length represented by f.

Radius of curvatureformula

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Examples of concave mirrors are the shaving mirror, doctor’s head mirror, floodlights, and reflectors. In addition, examples of concave mirrors are vigilance mirrors, street lighting, and rare view mirrors.

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Examples of concave mirrors are the shaving mirror, doctor’s head mirror, floodlights, and reflectors. In addition, examples of concave mirrors are vigilance mirrors, street lighting, and rare view mirrors.

Radius of curvature and focal length ofconvex lens

The radius of curvature is half of the principal axis. However, one can also say the radius of the hollow sphere of which the spherical mirror is a part is called the radius of curvature of the spherical mirror.

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If a beam of light falls on the principal axis of a concave mirror, all the rays meet at a specific point. Thus, that particular point is called focus or Focal Point on the concave mirror. However, if all the light is reflected and we try to join the actual path of the ray in front of the mirror, that point is called the focus. In addition, the straight line passing through the pole of the spherical mirror and the centre of curvature of that line is called the principal axis of the spherical mirror. It is usually denoted by P. The focal length is the distance between the principal axis and the focus or focus point.