The linear magnification produced by a spherical mirror is +1/3. Analyse this value and state the1)type of mirror2) position of the object with respect to the pole of the mirror. draw a ray diagram to show the formation of the image in this case.
Question
The linear magnification produced by a spherical mirror is +1/3. Analyse this value and state the1)type of mirror2) position of the object with respect to the pole of the mirror. draw a ray diagram to show the formation of the image in this case.
Solution
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Type of Mirror: The linear magnification produced by a spherical mirror is +1/3. The positive sign of magnification indicates that the image formed is virtual and erect. This is a characteristic of a Convex mirror.
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Position of the object with respect to the pole of the mirror: The object can be anywhere in front of the mirror. In a convex mirror, irrespective of the position of the object, the image formed is always virtual, erect, and diminished.
Ray Diagram:
Unfortunately, I can't draw a ray diagram here, but I can explain how to draw it:
- Draw a line representing the mirror. Mark its midpoint as 'P' (pole).
- Draw the principal axis (horizontal line) passing through 'P'.
- Draw a line perpendicular to the principal axis at 'P' to represent the center of curvature 'C'.
- Draw an object AB on the left side of the mirror along the principal axis.
- Draw a ray parallel to the principal axis from the top of the object. After reflecting from the mirror, it appears to come from the focus (behind the mirror). So, draw a dotted line from the point of incidence to the focus.
- Draw another ray from the top of the object passing through the center of curvature 'C'. After reflection, the ray retraces its path. So, draw a dotted line along the same path.
- The point where the two dotted lines meet on the right side of the mirror is the position of the image. Draw the image and mark it as A'B'. It will be smaller than the object (since magnification is less than 1), and erect (since magnification is positive).
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