Sun's Rays & Convex Mirrors: What is the Image Size?

AI Thread Summary
The discussion focuses on how the diameter of the image of the sun formed by a convex mirror is determined by the angle subtended at the mirror's pole and its focal length. The options presented for the image diameter include f theta, 2 f theta, and 6 f theta, with the correct answer being 2 f theta for a concave mirror. It is noted that for a plane mirror, the angle subtended by the object and image remains the same, but this does not apply universally. Additionally, the area of the image is proportional to the focal length, indicating a relationship between the mirror's characteristics and the image size. Understanding these principles is crucial for accurately determining image dimensions in optics.
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Rays from the sun subtend an angle theta (in radians) at the pole of a convex mirror (in radians) at the pole of a mirror of focal length f. If the diameter of the sun is D ,then diameter of the image of the sun formed by the mirror is:

(a) f theta
(b) 2 f theta
(c) 6 f theta
(d) none of these

Please tell what would be the case if the mirror is plane.
 
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At the pole of mirror the angle subtended by the object and image will be the same, think...
 
But , No not always . For a concave mirrror the diameter of the image becomes 2 f theta.Hey friend, perhaps this information would help-'area of the image is pie x r square and is proportional to 2f.'
 
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