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We wish to make a plano convex lens of focal length 16 cm from glass having refractive index 1.5. It is to be used in air. What should be the radius of curvature of the curved surface?​
  • a)
    8 cm
  • b)
    16 cm
  • c)
    24 cm
  • d)
    12 cm
Correct answer is option 'A'. Can you explain this answer?
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Given parameters:
- Focal length f = 16 cm
- Refractive index of glass n = 1.5
- Medium is air (refractive index n' = 1)

Formula:
The formula for the focal length of a plano-convex lens is given by:
1/f = (n - 1) * (1/R1 - 1/R2)

where R1 is the radius of curvature of the curved surface and R2 is infinity (since the other surface is flat).

Calculation:
Substituting the given values in the formula, we get:
1/16 = (1.5 - 1) * (1/R1 - 0)
1/16 = 0.5/R1
R1 = 0.5 * 16 = 8 cm

Therefore, the radius of curvature of the curved surface should be 8 cm.

Answer: (a) 8 cm
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We wish to make a plano convex lens of focal length 16 cm from glass having refractive index 1.5. It is to be used in air. What should be the radius of curvature of the curved surface?​a)8 cmb)16 cmc)24 cmd)12 cmCorrect answer is option 'A'. Can you explain this answer?
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