# Geometric optics multiple lenses

I am confused on how light rays behaved in this figure, specifically when it passed through the diverging lens. Why would the light rays converge when it passed through the diverging lens, when it should have diverged? Shouldn't the light rays have diverged instead? This was from a textbook and how zoom lenses work.

This was how I pictured the light rays would be. The blue lines would be the normal lines. Is it not correct? I mean light rays should have bent away from the normal lines since the light ray was entering through a material with lower index of refraction. • Note that if the rays between the lenses were extended they would meet closer less than 24 cm from the diverging lens. The diverging lens does diverge the rays and they meet at 24 cm from the diverging lens. – Farcher May 14 '17 at 21:37
• So even if the light rays were from a diverging lens, they would still diverge at some point? – Czar Luc May 14 '17 at 21:42
• In your first diagram after passing though the diverging lens the rays are converging less i.e. Diverging more. In you second diagram the diverging lens has a much shorter focal length and so refract (bend) the rays more. – Farcher May 14 '17 at 22:04
• So the effect of putting the diverging lens next to a converging lens just lowers the effect of converge? – Czar Luc May 14 '17 at 22:06
• That is correct and in the second diagram so much so that the rays that emerge are actually diverging. – Farcher May 14 '17 at 22:08