Extra Questions for Module 6
Nominal Power formula, Surface  Power formula, Lensmaker's formula.
Each worksheet is different, because each one was originally written by a different person.  Use the directions at the beginning of each worksheet for that worksheet.


Radius of Curvature Worksheet

Calculate the dioptric power of the following.  Round diopters to two decimal places.  (Not to 1/8 diopter steps)
 
 

        Index
  1. 1.523
  2. 1.523
  3. 1.530
  4. 1.70
  5. 1.530
  6. 1.498
Radius in mm

  +209
     -68
    +84
     -84
    +49
    +49
 

Diopters

________
________
________
________
________
________
 

Calculate the radius of curvature for the following.  Round to whole mm.
 
 

     Index
  1. 1.530
  2. 1.530
  3. 1.523
  4. 1.60
  5. 1.50
  6. 1.70
Radius in mm

________
________
________
________
________
________
 

Diopters

   +5.00
   -1.25
   -8.50
+11.37
-20.00
+20.00
 


 


Radius of Curvature Worksheet
  1. What is the dioptric power of a crown glass surface if it has a radius of curvature of 135 cm?

  2. D = ?
    n = 1.523
    r = 135 cm
      =  ? meters
     
  3. What is the dioptric power of a CR39 surface if it has a radius of curvature of 35 mm?

  4. D = ?
    n = 1.498
    r = 35 mm
      =  ? meters
     
  5. What is the radius of curvature in millimeters of a +6.00D crown glass surface?

  6. D =
    n =
    r = ? meters
      =  ? mm
     
  7. What is the radius of curvature in cm of a +2.50D CR39 surface?

  8. D =
    n =
    r =
      =
     
  9. What is the radius of curvature in mm of a +6.00D polycarbonate surface?

  10. D =
    n =
    r =
      =



Nominal Power Formula
  1. Find the nominal power (DN) if:
    1. D1 = +10.00 and D2 = -6.00
    2. D1 = +2.00 and D2 = -4.50
    3. D1 = +8.00 and D2 = -5.75
    4. D1 = -1.25 and D2 = -3.75
    5. D1 = -5.00 and D2 = -6.00
  2. Find the back surface (D2) if:
    1. DN = +10.00 and D1 = +6.00
    2. DN = +2.00 and D1 = +8.50
    3. DN = +8.00 and D1 = +5.75
    4. DN = -5.00 and D1 = -1.00
    5. DN = +6.50 and D1 = +10.00
    6. DN = -6.50 and D1 = +0.50
  3. Find the front surface (D1) if:
    1. DN = +10.00 and D2 = -2.00
    2. DN = +2.00 and D2 = -8.50
    3. DN = +8.00 and D2 = -2.75
    4. DN = -1.25 and D2 = -7.75
    5. DN = -5.00 and D2 = -3.00
    6. DN = +6.50 and D2 = -10.00
  4. I need a lens with power +3.50D.  If I use a lens blank with a front surface power of +8.00D, what back surface do I need?

  5.  
  6. I have a lens with a front surface of +9.25D and a back surface of -2.25D.  What is the power of the lens?

  7.  
  8. I want my lens to have a power of -3.00D.  What back surface do I need if the front surface is +8.00D?



Lensmakers Equation Worksheet
  1. A plastic meniscus lens of index 1.50 has a front radius of curvature of 8 cm and a back radius of curvature of 22.22 cm.  What is its dioptric power?  [In this worksheet, meniscus means one surface is + and one is -]

  2.  
  3. A barium meniscus lens, n = 1.60, has a front radius of curvature of 12 cm and a back radius of curvature of 7.5 cm.  What is its dioptric power?

  4.  
  5. A flint meniscus lens, n = 1.70. has a front radius of curvature of 11.2 cm and a back radius of curvature of 175 mm.  What is its dioptric power?

  6.  
  7. What is the power of a plano-convex polycarbonate lens with a front surface radius of curvature of 500 mm?  [Plano-convex means one surface is plano, 0 power, and one surface is convex, + power.]

  8.  
  9. What is the power of a plano-concave crown glass lens with a back surface radius of curvature of 45 mm? [One surface 0, one surface -.]

  10.  
  11. What is the power of a biconvex high-lite (n = 1.70) lens with a front surface radius of curvature of 70 cm and a back surface radius of curvature of 1.5 m?  [Both surfaces +.]

  12.  
  13. What is the power of a biconcave CR39 lens with a front surface radius of curvature of 250 mm and a back surface radius of curvature of 37.5 cm? [Both surfaces -.]

The answers are here.  Please do them yourself before you go to the answers.  If you understand it all and you don't need the practice then it will only take you a few minutes to do them.  If you are struggling with the formulas do one or two, check them, do a few more, check them, . . . just make sure that you do not look ahead of the ones that you did and are checking.

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