Solve Optics Problem with Lensmaker's Equation

[dzza]

Hey, so I've got a HW for an optics lab and haven't studied optics for a while, so I could use a little help.

The problem is a lensmaker's equation question involving a system of optical devices. An object at a distance of 30cm to the left of a converging lens of focal length +30cm. The converging lens is then 10 cm away from a divering lens of known focal length.

Now, I know the general procedure for solving this sort of problem, using the image of the light through the first lens as the object for the second lens. If I could just find the image distance from the first lens I'd be in good shape. But, isn't the object on the focal plane? and if it is, don't all rays of light incident on the first lens from the object emerge parallel to optical axis? In that case, no image is formed.

From the lensmaker's equation, i get 1/30 + 1/s = 1/30, where s is the image distance, and this has no solution. My question is do I have a sign messed up for the focal length or object distance?

 

[andrevdh]

No.You are in the right track. Remeber mathematically that the inverse of avery large number is very small. That is if one make the denominater larger and larger the inverse appoaches zero. So the image will be formed at infinity. This means that the object dinstance for the divergiing lens will be $$+\infty$$.