Optics(Converging lens and Diverging lens)

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The discussion focuses on solving a problem involving a converging lens and a diverging lens, using the mirror equation and magnification formulas. The user calculates the image distance for the converging lens and identifies that this image serves as a virtual object for the diverging lens. They express uncertainty about determining the object distance for the diverging lens and how to incorporate the height of the object into their calculations. The focal length of the diverging lens is noted as negative, and the user attempts to derive the total magnification from both lenses. The conversation highlights the complexities of working with multiple lenses and the importance of understanding virtual objects in optics.
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Homework Statement


http://www.imageurlhost.com/images/r0its2lyef7v3s0ppms2.png

Homework Equations


Mirror Equation
(1/q) + (1/p) = (1/f) = (2/r)
Magnification
M = (q/p)

for two lenses
M1 & M2
Total magnification = M1*M2

The Attempt at a Solution


we have p1 = 40cm and f1 = 30cm
then the image distance of lens 1 will be q1 = 120

then we have diverging lens 2
with focal length f2 = 20cm

then I am stuck i don't know what to do with the object distance of the diverging lens
i also don't know what to do with the fact that the object is 2cm high
 
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The image of the converging lens acts as a VIRTUAL object for the diverging lens.
 
grzz said:
The image of the converging lens acts as a VIRTUAL object for the diverging lens.

is it between the diverging and converging lens?

this is how i do to find the image distance of the divergng lens
between C lens and D lens (110cm)
but there is an image distance q1 from the C lens (120cm)
the object distance from the D lens p2 might be (110cm - 120cm)(1/q2) + (1/(110-120)) = (1/20)
q2 = 6.67
then i can find the magnification of the Divirging lens
M2 = q2/p2
total
M = M1M2

whats the use of that 2cm thing above the object?
 
If the formula (1/u) + (1/v) = 1/f is to be used then the focal length of the diverging lens is taken as -20.
 
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