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Draw a ray diagram to show the formation of an image in a convex mirror. - Leaving Cert Physics - Question e - 2009

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Draw a ray diagram to show the formation of an image in a convex mirror.

Worked Solution & Example Answer:Draw a ray diagram to show the formation of an image in a convex mirror. - Leaving Cert Physics - Question e - 2009

Step 1

Ray Diagram Setup

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Answer

To create the ray diagram, begin by drawing a convex mirror. This mirror is typically represented as a curved line opening toward the viewer. Indicate the focal point (F) behind the mirror, as the focal point for a convex mirror is virtual.

Step 2

Incident Ray

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Answer

Draw an incident ray approaching the mirror parallel to the principal axis. This beam represents light coming from an object. Label this ray as 'Incident Ray 1'.

Step 3

Reflected Ray from Incident Ray 1

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Upon reaching the mirror, this ray will reflect. Since it’s a convex mirror, the ray diverges. Extend the reflected ray (drawn dashed) backward, creating an impression that it originates from the focal point (F). Label this as 'Reflected Ray 1'.

Step 4

Second Incident Ray

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Answer

Draw a second incident ray directed toward the center of the mirror's surface (the vertex). Label this ray as 'Incident Ray 2'.

Step 5

Reflected Ray from Incident Ray 2

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This ray reflects off the mirror at an angle. Since the angle of incidence equals the angle of reflection, draw the reflected ray diverging from the mirror. Just like the first reflected ray, extend this ray backward to meet at the virtual focus point. Label it as 'Reflected Ray 2'.

Step 6

Image Position

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Where the two dashed reflected rays appear to diverge from, is the position of the virtual image. Indicate this point behind the mirror and label it as 'Image'. The image will be upright and smaller than the object.

Step 7

Final Annotation

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Answer

Ensure all rays, incident and reflected, are clearly labeled and the mirror is indicated. Add directional arrows to the rays to illustrate the flow of light. This will fulfill the criteria of having two correct reflected rays and the image behind the mirror.

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