Spherical Mirrors

The curved surface we see of a shining spoon can be considered a curved mirror. The most widely used type of curved mirror is the spherical mirror. The reflecting surface of such mirrors is considered to form a part of the surface of any sphere. Those mirrors which possess a reflecting surfaces which are spherical, are called spherical mirrors.

There are two types of spherical mirrors for which the mirror formula is used.

Concave mirror or also called the converging mirror which have an inward bent surface. They have a negative value of focal length in sign convention and can form both virtual and real images based on the position of the object.

Position of Object

Position of Image

Image Size

Natural Image

Within focus ( Between pole P and focus F)Behind the mirrorEnlargedVirtual and erect
At focusAt infinityHighly EnlargeReal and Inverted
Between F and C Beyond CEnlargedReal and Inverted
At C At C Equal to objectReal and Inverted
Beyond CBetween F and CDiminished Real and Inverted
At InfinityAt focusHighly diminished (Pointed Size)Real and Inverted

Convex mirror or also called the diverging mirror has a bulged outward surface. They have a positive value of focal length from sign convention. They can only form virtual and erect images which can be enlarged or diminished depending on the position of the object placed.

Position of object

Position of image

Image size

Nature of Image

Anywhere between pole P and InfinityBehind the mirror between P and FDiminishedVirtual and erect
At infinityBehind the mirror at Focus Highly diminishedVirtual and erect

Mirror Formula and Magnification

The light gets reflected or refracted from the surfaces or medium. Any surface which is polished or in other words shiny always acts like a mirror be it of any kind. The observation of light bouncing off or getting back from the surfaces is termed as reflection. The light after the case of reflection travels or follows in the same medium from where the ray was incident on the surface. This phenomenon of reflection does not intend to change the velocity of light it only reverses the direction of light incident on it. This can be observed on any surface which is rough or smooth. The path of the reflected ray will depend upon the extent of smoothness of the surface, in the case of a smooth surface the reflected ray emerges with the same angle as of incidence and in the latter case suffers irregular reflection and so the reflected ray doesn’t emerge same as that of incidence angle. On the other view, light can also change its speed when traveling from one medium to another which is known as refraction of light.

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Spherical Mirrors

The curved surface we see of a shining spoon can be considered a curved mirror. The most widely used type of curved mirror is the spherical mirror. The reflecting surface of such mirrors is considered to form a part of the surface of any sphere. Those mirrors which possess a reflecting surfaces which are spherical, are called spherical mirrors....

Sign Convention Chart for Reference

These are to be noted very specifically while doing sums on mirror formula as well as on magnification. Remember to put the values using the sign conventions otherwise, there will be high chances of any error while solving questions related to the spherical mirrors concave or convex....

Mirror Formula

To do the sums related to the spherical mirrors, the formula used is known as mirror formula. It is used to calculate the focal length, image distance, object distance and also the magnification or any other thing required. We usually put the formula first and then put the signs so as to do the sums to minimize any error which can be generated. The sign conventions which are to be followed while using mirror formula are fixed so from the above given diagram we can easily put the signs according to the requirement to get the required result....

What is Magnification?

Magnification is termed as the increase in the image size produced by spherical mirrors concave or convex with respect to the object size. It is considered to be the ratio of the height of the image to the height of the object and is denoted as m....

Magnification Formula

The magnification which is represented by the letter small m produced by a spherical mirror can be expressed or represented as:...

Uses of Magnification

A precision magnifier performs the role of a very simple magnifier, but it holds multiple elements to erase the aberrations and yield a sharper image for us.A tiny water droplet acts as a very simple magnifier that magnifies the object present behind it. The water forms small spherical droplets due to the influence of the surface tension. When the water droplet is in contact with any object, a spherical shape is distorted but capable of forming a good image of the object....

Examples on Magnification Formula

Example 1: What is the magnification produced if the image distance is 6 cm and the object is located at 12 cm in case of concave mirror?...

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