Question

define magnification of a spherical mirror state new Cartesian sign convention of mirrors

Answer 1

hyy..
here is ur answer...

Magnification

the ratio of height of image to the height of object is called magnification.

$m = \frac{h2}{h1}$


ACCORDING TO NEW CARTESIAN SIGN CONVENTION:-

1. all the distance are measured from pole to Mirror as origin.

2. distance measured in the same direction as that of incident light are taken as positive.

3. distance measure against the direction of incident light are taken as negative.

4. distance measure a point and perpendicular to the principal axis and taken as positive.

5. distance measure downward and perpendicular to the principal Axis are taken as negative.


hope it helps
thanks..

Answer 2

Magnification of a mirror is given as the ratio of image height to the object height.

Magnification

Magnification refers to the increase in picture size created by spherical mirrors in comparison to the size of the item. It's the height of the image divided by the height of the object, and it's written as m.

A spherical mirror's magnification, m, can be represented as follows:

      $m =\frac{hi}{ho}$

where,

$hi$ = height of image

$ho$ = height of object

The ratio of image distance to object distance is also known as magnification.

$m = \frac{v}{u}$

The object's height is always positive since it is always above the principal axis. However, depending on the sort of image created, the indicator for image height may differ.

New Cartesian sign convention of mirrors

All indicators in a spherical mirror are obtained from the pole of the spherical mirror, which is also known as the origin or origin point. The New Cartesian Sign Convention is the name given to this sign convention. In front of a spherical mirror, the sign is always taken as (negative). Cartesian uses the following sign conventions:

1. The mirror's pole is used to measure all distances (in the case of the lens from the optic center). In a ray diagram of spherical mirror reflection, all distances are measured from the spherical mirror's pole.
2. Positive values are assigned to distances measured in the same direction as the incident light. Anticlockwise rotation from the optic axis produces positive acute angles, while clockwise rotation produces negative acute angles.
3. Negative distances are those measured in the opposite direction of the incident light.
4. Positive heights are those measured perpendicular to the primary axis in the upward direction. Positive heights are those measured upwards and perpendicular to the mirror's major axis.
5. Heights measured in the descending direction perpendicular to the primary axis are considered negative. Negative heights are those measured downwards and perpendicular to the mirror's major axis.
6. The object's size is always positive, however the image size for an erect image is positive and negative for an inverted image.
7. For an erect (and virtual) image, the magnification is positive, while for an inverted (and real) image, it is negative.

The New Cartesian Sign Convention is a collection of sign conventions that we employ when dealing with light reflection in spherical mirrors. The origin is defined as the mirror's pole (P), and the x-axis is defined as the mirror's primary axis.

Always place the thing to the left of the mirror. The pole of the mirror is used to measure all distances parallel to the major axis. All distances measured to the right of the origin are considered positive, whilst those measured to the left are considered negative.

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