Rohit wants to have an erect image of an object, using a converging mirror of focal length 40 cm. (a) Specify the range of distance where the object can be placed in front of the mirror. Give reason for your answer. (b) Will the image be bigger or smaller than the object ? (c) Draw a ray-diagram to show the image formation in this case.
Answers
b . The image is enlarged and form behind the mirror.
Answer:
(a) The object should be placed at a distance greater than the focal length (40 cm)
b) The image will be smaller than the object, as the image is formed at the focal point of the mirror, which is behind the mirror.
(c) A ray-diagram is a representation of the path of light rays and the position of the image formed by the mirror.
Explanation:
(a) The range of distance where the object can be placed in front of the converging mirror is between the focal point and the center of curvature of the mirror. The object should be placed at a distance greater than the focal length (40 cm) but less than twice the focal length (80 cm) from the mirror.
If the object is placed at a distance less than the focal length, the image will be virtual and behind the mirror, which is not possible. If the object is placed at a distance greater than twice the focal length, the image will be real but too far away to be captured.
(b) The image will be smaller than the object, as the image is formed at the focal point of the mirror, which is behind the mirror.
(c) A ray-diagram is a representation of the path of light rays and the position of the image formed by the mirror.
When the object is placed between principal focus and pole of a concave mirror, an magnified, virtual and erect image is formed behind the mirror.
Note: The ray-diagram is only a representation of the image formation and not an actual image.
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