What sign conventions are used for reflection from a spherical mirror?
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Answer:
Distances along the direction of the incident ray (along positive x- axis) are taken as positive, while distances along the direction of the reflected ray (along negative x-axis) are taken as negative.
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According to the Cartesian sign convention, the pole of the mirror is taken as the origin. The principal axis is taken as the X-axis of the frame of reference. The sign conventions are as follows:
The object is always kept on the left of the mirror. All distances parallel to the principal axis are measured from the pole of the mirror.
All distances measured towards the right of the pole are taken to be positive, while those measured towards the left are taken to be negative.
Distance measured vertically upwards from the principal axis are taken to be positive.
Distance measured vertically downwards from the principal axis are taken to be negative.
The focal length of a concave mirror is negative while that of a convex mirror is positive.