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:

– 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:

– 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)

**What type of image is formed by a convex mirror?**Convex mirrors always form a virtual, diminished, and erect image.

**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.

**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.

**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.

**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.

**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.

**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.

**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.

**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.

**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.