An arrow high is placed at a distance of from a diverging mirror of a focal length of . Find the nature, position, and size of the image formed.
Step 1: Given data
Height of the object:
Distance of object from mirror:
Focal length of the mirror:
Step 2: Formula used
The focal length of the mirror is given by the formula , where is the distance between mirror and image and is the distance between mirror and object. This is known as the mirror formula.
The magnification is given by the formula , where is the height of image, is height of object, is distance of image from mirror and is distance of object from mirror.
Step 3: Find the distance between image and object using mirror formula.
Step 4: Find the height of the image
Hence, the image will be formed at behind the mirror, which will be virtual, erect, and in size.