Rules For Ray Diagrams


 
 
Concept Explanation
 

Rules For Ray Diagrams

Representation of Images Formed by Spherical Mirrors Using Ray Diagrams:

Many rays of light are coming from the point object or an extended object in all directions.The reflection of light follows the same two rules for all rays. The image of the object is formed at the intersection of the reflected rays To construct a ray diagram in order to locate the image of an object, it is more convenient to consider only two rays. The intersection of at least two reflected rays gives the position of image of the point object.

The following rays can be considered for locating the image

1.The rays coming parallel to the principal axis, pass through the focus after reflection in concave mirror or appear to come from focus in the case of convex mirror.

2. The rays coming through the focus of a concave mirror or coming towards focus of a convex mirror, become parallel to principal axis after reflection from the mirror.

3. A ray coming through centre of curvature of a concave mirror or towards the direction of centre of curvature of a convex mirror, reflects back along the same path on striking the mirror surface.

4. A ray incident obliquely to principal axis towards a pole P of the concave or convex mirror is reflected obliquely , following the laws of reflection. i.e., <i = <r.

Point Object On the Principal Axis:

When the point source is placed at the principal axis of a spherical mirror. The ray along the principal axis will fall normally on the mirror and will retrace its path after reflection. Any other ray which will fall on the mirror will be reflected  back (after projection) will cut the principal axis. The image of the point source is formed at that point on the principal axis.

Extended Object Placed Perpendicularly On the Principal Axis:

When the extended object is placed perpendicularly at the principal axis of a spherical mirror, the image of the extended object can be formed by locating the  images of the individual point of the object.  We can find the whole image by just locating the image of the top and the bottom of the object.

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Sample Questions
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Question : 1

Which of the following are correct :

(a) When the extended object is placed perpendicularly at the principal axis of a spherical mirror, the image of the extended object can be formed by locating the  images of the individual point of the object. 

(b) The rays coming parallel to the principal axis, pass through the focus after reflection in concave mirror or appear to come from focus in the case of convex mirror.

Right Option : C
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Explanation
Question : 2

Which of the following are correct :

(a) A ray coming through centre of curvature of a concave mirror or towards the direction of centre of curvature of a convex mirror, reflects back along the same path on striking the mirror surface.

(b) The rays coming through the focus of a concave mirror or coming towards focus of a convex mirror, become parallel to principal axis after reflection from the mirror.

Right Option : C
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Explanation
Question : 3

The rays coming _________________ to the principal axis, pass through the focus after reflection in concave mirror or appear to come from focus in the case of convex mirror.

Right Option : A
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Explanation
 
 
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