Answer :
Final answer:
The image's distance from a convex lens with a focal length of 25.5 cm, when an object is placed 72.5 cm away, is approximately 39.3 cm.
Explanation:
To find the image's distance from the lens when an object is placed in front of a convex lens, we use the lens formula which 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.
Given:
Focal length (f) = 25.5 cm
Object distance (do) = 72.5 cm
We rearrange the lens formula to solve for the image distance (di):
1/di = 1/f - 1/do
1/di = 1/25.5 cm - 1/72.5 cm
1/di = 0.0392 - 0.0138
1/di = 0.0254
di = 1 / 0.0254
di = 39.37 cm (approximately)
Therefore, the image's distance from the lens is approximately 39.3 cm.
