A di vs. M graph is a plot that shows the relationship between the image distance (di) and the magnification (M) for a lens or mirror. It is used to analyze optical systems and determine the focal length of the lens or mirror.
The focal length (f) can be found by using the relationship between the image distance (di), object distance (do), and magnification (M). From the graph, you can use the equation M = -di/do and the lens formula 1/f = 1/do + 1/di to derive the focal length.
The slope of the di vs. M graph is related to the object distance (do). Specifically, the slope is equal to -do. By knowing the slope, you can determine the object distance and use it to find the focal length using the lens formula.
Yes, a di vs. M graph can be used for both convex and concave lenses. However, the interpretation of the graph might differ slightly depending on the type of lens. For convex lenses, the focal length is positive, while for concave lenses, it is negative.
Common sources of error include inaccurate measurements of image distance (di) and object distance (do), misalignment of the optical setup, and assumptions that do not hold true in practical scenarios. Ensuring precise measurements and careful setup can help minimize these errors.