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The near point of an elderly person is 50 cm from the eye. Find the focal length and power of the corrective lens that will correct his vision.?
Most Upvoted Answer
The near point of an elderly person is 50 cm from the eye. Find the fo...
The disease is hypermetropia and the lens that is use is convex

1/f = 1/-x +1/25
1/f = 1/-50+ 1/25
1/f = -1+2/50
1/f = 1/50
f = 50 cm

P = 1/f
P = 1/50/100
P= 100/50=2
P = 2 D
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The near point of an elderly person is 50 cm from the eye. Find the fo...


Calculating the Focal Length and Power of Corrective Lens

Given Information:
  • Near point distance (D) = 50 cm
  • Distance of the corrective lens from the eye (D') = ?
  • Focal length of the corrective lens (f) = ?
  • Power of the corrective lens (P) = ?



Finding the Focal Length:
  • The formula relating the focal length of a lens to the object distance and image distance is: 1/f = 1/D + 1/D'
  • Since we are dealing with a corrective lens, the object distance (D) is the near point distance, which is 50 cm.
  • Substitute the values into the formula: 1/f = 1/50 + 1/D'
  • Now, solve for the focal length f.



Finding the Power of the Corrective Lens:
  • The formula for calculating the power of a lens is: P = 1/f
  • Once you have found the focal length f, you can calculate the power of the corrective lens by taking the reciprocal of the focal length.
  • Make sure to express the power in diopters (D).



Conclusion:
  • After calculating the focal length and power of the corrective lens using the given near point distance of 50 cm, you can determine the appropriate lens that will correct the vision of the elderly person.


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The near point of an elderly person is 50 cm from the eye. Find the focal length and power of the corrective lens that will correct his vision.?
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