Optics(Converging lens and Diverging lens)

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SUMMARY

This discussion focuses on the application of the mirror equation and magnification formulas to solve a problem involving a converging lens and a diverging lens. The user successfully calculates the image distance for the converging lens (q1 = 120 cm) and attempts to find the object distance for the diverging lens using the relationship between the lenses. The focal length for the diverging lens is established as -20 cm, and the total magnification is determined by multiplying the individual magnifications of both lenses (M = M1 * M2). The discussion highlights the importance of recognizing the virtual object created by the converging lens for the diverging lens.

PREREQUISITES
  • Understanding of the mirror equation: (1/q) + (1/p) = (1/f)
  • Knowledge of magnification calculations: M = (q/p)
  • Familiarity with lens types: converging and diverging lenses
  • Basic concepts of virtual objects in optics
NEXT STEPS
  • Study the derivation and applications of the mirror equation in optics
  • Learn about the properties and applications of virtual objects in lens systems
  • Explore advanced magnification techniques for multi-lens systems
  • Investigate the effects of object height on image formation in lens systems
USEFUL FOR

Students studying optics, physics educators, and anyone interested in understanding the principles of lens systems and image formation.

BSElectrician
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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
 
Last edited:
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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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