The only part of the question that is giving me difficuties is determining when

Question

The only part of the question that is giving me difficuties is determining when R1 and R2 for lens (A) (B) (C) and (D) are negative or positive. (maybe im not looking at the diagram properly) can someone please explain in full detail how to determine this...(perhaps alog side with explaination, drawing their own diagram for R1 and R2 for all lens to better explain)

this is the solution i followed from chegg ( https://www.chegg.com/homework-help/University-Physics-with-Modern-Physics-14th-edition-chapter-34-problem-37E-solution-9780321973610)

For each thin lens shown in Fig. E34.37, calculate the location of the image of an object that is 18.0 cm to the left of the lens. The lens material has a refractive index of 1.50, and the radii of curvature shown are only the magnitudes. Figure E34.37 R-100 cmR 10.0 cm R 10.0 cm R 15.0 cm Flat R 15.0 cm R5.0 cm

Explanation / Answer

Here you need to first of all understand how the ray diagrams are drawn and how they work. In ray diagrams the ray of light always travels from left to right thus when you are measuring something towards the left it is going to have a negative sign because of the opposite direction and the measurements made to right side is going to have positive sign.

As for the given cases,

A. In this case R = 10 cm is going to be negative while the R = 15 cm is going to be positive.

B. R = 10 cm is going to be negative because of the direction.

C. Here, again the same case as A bu now the radii have been switched so we have R = 10 cm positive and R =15 cm negative.

D. In this case both the Radii will be positive.

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