What are Spherical Mirrors?
A mirrors whose polished, reflecting surface is a part of a hollow sphere of glass or plastic is called a spherical mirror. In a spherical mirror, one of the two curved surface is coated with a thin layer of silver followed by a coating of red lead oxide paint. Thus, one side of the spherical mirror is opaque and the other side is a highly polished reflecting surface. Depending upon the nature of reflecting surface,There are two types of spherical mirrors:
A spherical mirror whose inner curved surface is reflecting is called concave mirror. In concave mirror the size of the image depends on the position of the object. Both virtual and real image can be formed by a concave mirror.
A spherical mirror whose outer curved is reflecting is called convex mirror. In convex mirror the size of image is always smaller than the object. Only virtual and erect image is formed by a convex mirror.
Difference table of convex and concave mirror:
|convex mirror||concave mirror|
|1:Its outer surface is reflecting.||1:Its inner surface is reflecting.|
|2:Its principal focus is behind the mirror,and virtual.||2:Its principal focus is in front of mirror,and real.|
|3:It forms virtual image.||3:It forms real and virtual image.|
|4:Its focal length is negative.||4:Its focal length is positive.|
|5:It is used to get magnified images.||5:It is used to get images of small sizes.|
It is the midpoint of the curved surface of spherical mirror. It is also called vertex.
Center of Curvature (C):
A spherical mirror is a part of a sphere. The center of this sphere is called center of curvature.
Radius of Curvature (R):
It is the radius of the sphere of which spherical mirror is a part.
It is the line joining center of curvature and pole of the spherical mirror.
The Principal focus (F):
After reflection from a concave mirror, rays of light parallel to the principal axis axis converge to a point F. This point is called “The Principal Focus”of the mirror. Hence, Concave mirrors are also called converging mirrors. Since rays actually pass through this point, therefore, it is called real focus.
In the case of convex mirror, rays parallel to the principal axis after reflection appear to come from a point F situated behind the mirror. In other words rays of light appear of diverge from F. This point is called the principal focus of the convex mirror. Convex mirrors are also called diverging mirrors. The principal focus of a convex mirror is virtual focus because the reflected rays do not actually pass through it but appear to do so.
Focal length (f):
It is the distance from the pole to the principal focus measured along the principle axis. The focal length is related to the radius of curvature by f =R/2. This means that as the radius of curvature is reduced, so too is the focal length of the reflecting surface.
Reflection of Light by Spherical Mirrors:
Like plane surfaces, spherical surfaces also reflect light following the two laws of reflection as stated for plane surfaces.Shows how light is reflected by the spherical surfaces of concave and convex mirrors according to the two laws of reflection.
Image Location by Spherical Mirror Formula:
How can we tell about the nature of image(whether image is real or imaginary, inverted or erect) formed in the mirror? How can we tell about the size of the image compared with the size of the object? To answer these question, one method is graphical or ray diagram. But, we can also answer these questions by using a mathematically formula called the mirror formula defined as:
Mirror formula is the relationship between object distance p, image distance q from the mirror and focal length f of the mirror.
1/f = 1/p +1/q
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