Answer:
Focal length: 44.16cm, Power: 2.2645 diopters
Step-by-step explanation:
The object and image locations are the distance from the point to the lens.
object location = 25 - 2 = 23cm
image location = 50 - 2 = -48cm
the image location is negative since the image is virtual (the light rays do not pass through the image)
We can then use the lens equation to find the focal length.
1/object location + 1/image location = 1/focal length
(1/23)-(1/48)=1/f
Focal length = 44.16cm
To find the power we use the equation
D=1/f where f is the focal length in meters
44.16cm = 0.4416m
power = 2.2645 diopters