Find focal length for meniscus convex

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SUMMARY

The focal length for a meniscus convex lens can be calculated using the lens maker's equation: f = (r1r2)/(n-1)(r2-r1). In this discussion, the radius of curvature r is given as 15 cm and the refractive index n is 1.5. A user successfully solved similar problems using radius values of 38 cm and 59 cm, demonstrating that the correct focal length can be determined by substituting these values into the equation. The relationship between r1 and r2 is crucial, as they yield opposite signs for different configurations.

PREREQUISITES
  • Understanding of lens maker's equation
  • Knowledge of refractive index and its implications
  • Familiarity with radius of curvature concepts
  • Basic algebra skills for solving equations
NEXT STEPS
  • Study the derivation and applications of the lens maker's equation
  • Explore different types of lenses and their focal lengths
  • Learn about the impact of refractive index on lens performance
  • Investigate practical applications of meniscus lenses in optical devices
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Students studying optics, physics educators, and anyone involved in optical design or lens manufacturing.

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Homework Statement



Find focal length for meniscus convex (3)

hrw7_34-49.gif


Given r = 15, and n = 1.5

Homework Equations



Lens maker's equation

The Attempt at a Solution


I can find the rest except #3 and #6 (they are opposite sign of each other)

I had (1/r1 - 1/r2) gives zero... which is wrong...
I can solve the rest, so I don't really know what else to show... (so I am sorry for not showing any work...)
I spent two hours literally trying to solve this and no luck

Can anyone please help me? Thanks..
 

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Use this : f = (r1r2)/(n-1)(r2-r1), i had a similar question and in the question they gave 2 separate r values, of 38cm or 59cm, so for the 3rd one you use r1=38cm r2=59cm and then you'll get the correct answer, the 6th one will just be the opposite sign, as r1=59cm and r2=38cm
 

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