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The radius of curvature of the curved surface of a plano-convex lens is 20 cm. If the refractive index of the material of the lens be 1.5, then focal length of lens will be:
  • a)
    20 cm
  • b)
    -30 cm
  • c)
    80 cm
  • d)
    40 cm
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The radius of curvature of the curved surface of a plano-convex lens i...
1/f = (n - 1) ×  (1/R2)
1/f = (1.5 - 1) × (1/20)
1/f = 0.025
f = 1/0.025
f = 40 cm
Therefore, the focal length of the plano-convex lens is 40 cm.
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Community Answer
The radius of curvature of the curved surface of a plano-convex lens i...
Radius of Curvature and Focal Length of a Lens
The radius of curvature (R) of the curved surface of a lens is related to the focal length (f) of the lens through the formula:
f = R / (n - 1)
where n is the refractive index of the material of the lens.

Given Data
Radius of curvature (R) = 20 cm
Refractive index (n) = 1.5

Calculating the Focal Length
Substitute the given values into the formula:
f = 20 cm / (1.5 - 1)
f = 20 cm / 0.5
f = 40 cm
Therefore, the focal length of the plano-convex lens is 40 cm, which corresponds to option 'D'.
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The radius of curvature of the curved surface of a plano-convex lens is 20 cm. If the refractive index of the material of the lens be 1.5, then focal length of lens will be:a)20 cmb)-30 cmc)80 cmd)40 cmCorrect answer is option 'D'. Can you explain this answer?
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