Finding Distance of Retina from Lens: Power from 40D to 44D

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In summary, the accomodation power of a boy with a far point at infinity can range from 40D to 44D. Using this information, the distance of the retina from the lens can be found by using the lens formula and assuming a near point of 25 cm. The result is a distance of 2.5 cm. However, there is no information provided on the near point in the given question.
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AlchemistK
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Homework Statement


The accomodation power of a boy whose far point is at infinity can vary from 40D to 44D.
Using this data find the distance of the retina from the lens.


Homework Equations


Power of lens,P = 1/f(in meters)
f = focal length
lens formula, 1/v - 1/u = 1/f

The Attempt at a Solution



when object is at infinity,
f=1/40 = 2.5 cm
by lens formula,

1/v-(-1/[tex]\infty[/tex]) = 1/2.5
=>1/v - 0 = 1/2.5
=>v=2.5 cm

thus, distance = 2.5cm

Have i done this question right? And do i have to confirm the answer by putting the object at the near point or this is enough?
 
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  • #2
You can't double check because the question doesn't tell you what the near point is.Just to satisfy your curiosity you may wish to assume that the near point is at 25 cm,this is taken to be the average value.
 

What is the purpose of finding the distance of the retina from the lens?

Finding the distance of the retina from the lens is important for determining the optimal positioning of an intraocular lens during cataract surgery. It allows for precise calculation of the power needed for the lens to correct vision.

What is the difference between a 40D and a 44D lens?

The D in 40D and 44D refers to the power of the lens, with D standing for diopters. A 40D lens has a power of 40 diopters, while a 44D lens has a power of 44 diopters. This means that the 44D lens has a stronger power and can correct for more severe refractive errors.

How is the distance of the retina from the lens measured?

The distance of the retina from the lens is measured using a technique called A-scan ultrasound. This involves sending high-frequency sound waves into the eye and measuring the time it takes for them to bounce back. The data is then used to calculate the distance of the retina from the lens.

What factors can affect the distance of the retina from the lens?

The distance of the retina from the lens can be affected by various factors such as the shape and size of the eye, the thickness and curvature of the cornea, and the overall health of the eye. These factors must be taken into consideration when calculating the power of the lens needed for vision correction.

Why is it important to accurately determine the power of the lens for cataract surgery?

An accurate determination of the power of the lens is crucial for successful cataract surgery and optimal post-surgery vision. If the power is too high or too low, it can lead to over or undercorrection of vision, resulting in blurry vision or the need for additional corrective procedures.

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