The discussion revolves around a problem involving a converging lens, where the focal length (f) is given as 1.43m, and the image height (Hi) is 2m. Participants are tasked with finding various variables related to the lens, including the object height (Ho) and distances (do and di).
There are multiple lines of reasoning being explored regarding the relationships between the variables. Some participants suggest using magnification to derive relationships, while others are working through the lens formula to find object distance. Guidance has been offered on how to manipulate the equations, but no consensus has been reached on the final values.
Participants are working under the constraints of the given values and the relationships defined by the lens equations. There is some uncertainty regarding the derivation of object distance and the use of magnification in the context of the problem.
You can get the object height from the magnification. Since the image is 20 times smaller than the object, M=1/20. We also know that H_i=2 \, m.Samr28 said:
Multiply the equation \frac{1}{f}=\frac{1}{d_o}+\frac{1}{d_i} through by d_o. This gives you the equation \frac{d_o}{f}=\frac{d_o}{d_o}+\frac{d_o}{d_i} d_o/d_o=1 and d_o/d_i=1/M Solve for the remaining d_o.andrevdh said: