Final answer:
The position of the image relative to the convex spherical mirror is 33.33 cm.
Step-by-step explanation:
In this problem, we can use the lens/mirror equation to find the position of the image relative to the convex spherical mirror. The lens/mirror equation states that 1/do + 1/di = 1/f, where do is the object distance, di is the image distance, and f is the focal length of the mirror. In this case, the object distance is given as 100 cm, and the radius of the mirror is 50 cm, so the focal length is 25 cm. Plugging these values into the equation, we can solve for di:
1/100 + 1/di = 1/25
1/di = 1/25 - 1/100
1/di = 4/100 - 1/100
1/di = 3/100
di = 100/3
So, the position of the image relative to the mirror is di = 33.33 cm.