How would you calculate the refractive index?

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SUMMARY

The refractive index of a plano-convex lens can be calculated using the lensmaker's equation: 1/f = (n-1)(1/r1 - 1/r2). Given a focal length (f) of 0.2 m, a radius of curvature (r1) of 0.07 m for the convex side, and an infinite radius of curvature (r2) for the flat side, the refractive index (n) can be determined. Substituting these values into the equation allows for the calculation of n, which is essential for understanding lens optics.

PREREQUISITES
  • Understanding of the lensmaker's equation
  • Knowledge of focal length and radius of curvature
  • Basic principles of optics
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the derivation of the lensmaker's equation
  • Learn about different types of lenses and their applications
  • Explore the relationship between refractive index and light propagation
  • Investigate practical experiments to measure refractive index
USEFUL FOR

Students in physics or optical engineering, educators teaching optics, and anyone interested in the practical applications of lens design and analysis.

Vaish

Homework Statement


A plano-convex lens has a focal length f= 0.2 m. The radius of curvature of the convex side of the lens has been determined to be 0.07 m and the radius of curvature of the flat side is assumed to be infinite.
Calculate the refractive index of the lens.

Homework Equations


1/f = (n-1)(1/r1-1r2)

The Attempt at a Solution


I have no idea where to start from.
 
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You have ##f## and you have ##r1## and ##r2##, along with the equation relating the three to the index of refraction, do you not?
 

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