Final answer:
The correct answer is option d. The object distance for a virtual image formed 8 cm from a convex mirror with a focal length of 10 cm is calculated using the mirror equation and is found to be 4.4 cm.
Step-by-step explanation:
The question deals with the characteristics of an image formed by a convex mirror and requires the use of the mirror equation to find the object distance. The mirror equation is given by 1/f = 1/do + 1/di, where f is the focal length, do is the object distance, and di is the image distance. For a convex mirror, the focal length is positive, and for a virtual image, the image distance is negative.
Applying this to the given scenario of a virtual image being formed 8 cm from a convex mirror with a focal length of 10 cm, the object distance can be calculated as follows:
1/10 cm = 1/do - 1/(-8 cm), simplifying to 1/do = 1/10 cm + 1/8 cm, and then to do = 1/(1/10 + 1/8) cm, which ultimately gives do = 4.44 cm. Therefore, the object that created this image is 4.44 cm away from the mirror, making option d. 4.4 cm the correct answer.