# Properties of image formed by convex mirror

Article about Properties of image formed by convex mirror

The object distance is smaller than the focal length of the convex mirror (do < f)

Based on the calculation of the image formation by the convex mirror, can be concluded that if the object distance (do) is smaller than the focal length (f), the properties of the image are:

– Virtual means the beam of light does not pass through the image because the image is behind the convex mirror

– Upright

– The farther the object is from the convex mirror, the smaller the image size

– The farther the object is from the convex mirror, the smaller the image from the convex mirror

The object distance is the same as the focal length of the convex mirror (do = f)

Based on the calculation of the image formation by the convex mirror, can be concluded that if the object distance is equal to the focal length of the mirror, the properties of the image are:

– Virtual means the beam of light does not pass through the image because the image is behind the convex mirror

– Upright

– Minimized (Image size = ½ times the object size)

– The image distance is smaller than the object distance (the image distance = ½ times the object distance)

The object distance is greater than the focal length and is smaller than the radius of curvature of the convex mirror (f < do < R)

Based on the calculation of the image formation by the convex mirror, can be concluded that if the object is between the focal point and the radius of the curvature, the properties of the image are:

– Virtual means the beam of light does not pass through the image because the image is behind the convex mirror

– Upright

– The image size is smaller than the object size

– The farther the object is from the convex mirror, the farther the image from the convex mirror

The object distance is equal to the radius of curvature of the convex mirror (do = R)

Based on the calculation of the image formation by the convex mirror, can be concluded that if the object distance is the same as the radius of the curvature, the properties of the image are:

– Virtual means the beam of light does not pass through the image because the image is behind the convex mirror

– Upright

– Minimized (the image size = 1/3 times the object size)

– The image distance is smaller than the object distance (The image distance = 1/3 times the object distance)

The object distance is greater than the radius of curvature of the convex mirror (do > R)

Based on the calculation of the image formation by the convex mirror, can be concluded that if the object distance is larger than the radius of the curvature of the mirror, the properties of the image are:

– Virtual means the beam of light does not pass through the image because the image is behind the convex mirror

– Upright

– The image size is smaller than the object size

– The image distance is smaller than the object distance (the image is closer to the mirror, the object is farther from the mirror)

1. What type of image is formed by a convex mirror?

Convex mirrors always form a virtual, diminished, and erect image.

2. How does the position of an object influence the position of the image in a convex mirror?

No matter where the object is located, the image formed by a convex mirror is always located between the mirror and the focus.

3. Why are the images formed by convex mirrors diminished?

The images are diminished because the light rays diverge upon reflection. As a result, they appear to come from a point that is closer to the mirror than the actual object, causing the image to appear smaller than the object.

4. How does the magnification ‘m’ of a convex mirror relate to the image and object distances?

The magnification of a convex mirror is given by the ratio of the image height to the object height, which also equals the ratio of image distance ‘v’ to object distance ‘u’. For a convex mirror, ‘m’ equals -v/u.

5. What is the significance of the negative sign in the magnification formula for convex mirrors?

The negative sign indicates that the image is virtual and erect, as images formed by convex mirrors are always virtual and erect.

6. How is the focal length ‘f’ of a convex mirror related to the radius of curvature ‘R’?

The focal length of a convex mirror is half the radius of curvature, so ‘f’ equals R/2. For a convex mirror, the focal length is taken as negative, signifying that the focus is virtual.

7. Is the object distance ‘u’ positive or negative for a convex mirror?

For a convex mirror, the object distance ‘u’ is taken as negative. This convention arises from the fact that the object is always placed in front of the mirror.

8. What is the mirror equation for a convex mirror and how is it derived?

The mirror equation is 1/v + 1/u = 1/f. It is derived from the geometry of spherical mirrors, considering the relationships between object distance, image distance, and focal length.

9. What happens to the image formed by a convex mirror as the object approaches the mirror?

As the object approaches the mirror, the image also gets closer to the mirror, but it always remains smaller than the object and stays between the pole and the focus.

10. Why are convex mirrors often used for rear-view mirrors in vehicles?

Convex mirrors are often used as rear-view mirrors because they form a diminished image, providing a wider field of view. This allows the driver to see more of the environment behind the vehicle, enhancing safety.