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

In summary, the diameter of the image of the sun formed by a convex mirror with focal length f and angle theta subtended at the pole is proportional to 2f. This holds true for a concave mirror, where the diameter becomes 2f theta. The area of the image is proportional to 2f and is given by pie x r square. The case for a plane mirror is not mentioned.
  • #1
Mr.IITIAN007
20
0
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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  • #2
At the pole of mirror the angle subtended by the object and image will be the same, think...
 
  • #3
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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1. What are Sun's Rays?

The Sun's rays are electromagnetic waves that are emitted from the Sun and carry energy to Earth. They are responsible for providing light and heat to our planet.

2. How do Sun's rays interact with convex mirrors?

Convex mirrors are curved mirrors that reflect light outwards, causing the rays of light to spread out. When the Sun's rays hit a convex mirror, they are reflected in various directions, depending on the curvature of the mirror.

3. What is the image size produced by a convex mirror?

The image size produced by a convex mirror is always smaller than the actual object. This is because the reflected rays of light spread out, causing the image to appear smaller.

4. How is the image size affected by the distance between the convex mirror and the object?

The image size produced by a convex mirror is affected by the distance between the mirror and the object. The farther the object is from the mirror, the smaller the image size will be. This is because the reflected rays of light spread out even further as the distance increases.

5. Can a convex mirror produce a magnified image?

No, a convex mirror cannot produce a magnified image. Due to the nature of a convex mirror, the image size will always be smaller than the actual object, regardless of the distance between the mirror and the object.

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