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Chapter 26: Q1PE (page 956)

Unless otherwise stated, the lens-to-retina distance is 2.00cm.

What is the power of the eye when viewing an object 50.0cmaway?

Short Answer

Expert verified

The power of the eye when viewing an object 50.0cm away is, P=+52.0D.

Step by step solution

01

Concept Introduction

Equation of the thin lens can be used to examine the image formation by the eye quantitatively.

The power of the lens can be estimated from the reciprocal of the focal length

P=1f=1d∘+1di

Wherelocalid="1654081131156" d∘anddiis the distance between the object and eye as well as the distance from the lens to the retina.

02

Information Provided

The distance between the object and the eye is,

d∘=50.0cm(1m100cm)=0.5mThelens-to-retinadistanceis:d∘=2.00cm(1m100cm)=0.02m

03

Calculation for the power

The expression for the power of the eye is given as,

P=(1d∘+1di)=(10.5m+10.02m)=+52D

Therefore, the value of power is obtained asP=+52D

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Most popular questions from this chapter

The power of a physician’s eyes is 53.0 D while examining a patient. How far from her eyes is the feature being examined?

Unless otherwise stated, the lens-to-retina distance is 2.00 cm.

People who do very detailed work close up, such as jewellers, often can see objects clearly at much closer distance than the normal 25 cm.

(a) What is the power of the eyes of a woman who can see an object clearly at a distance of only 8.00 cm?

(b) What is the size of an image of an 1.00 mm object, such as lettering inside a ring, held at this distance?

(c) What would the size of the image be if the object were held at the normal 25.0 cm distance?

(a) During laser vision correction, a brief burst of 193nm ultraviolet light is projected onto the cornea of the patient. It makes a spot 1.00mm in diameter and deposits 0.500mJ of energy. Calculate the depth of the layer ablated, assuming the corneal tissue has the same properties as water and is initially at 34.00C. The tissue’s temperature is increased to 1000Cand evaporated without further temperature increase. (b) Does your answer imply that the shape of the cornea can be finely controlled?

Repeat the previous problem for eyeglasses held 1.50 cm from the eyes.

Unless otherwise stated, the lens-to-retina distance is 2.00 cm.

(a) A laser vision correction reshaping the cornea of a myopic patient reduces the power of his eye by 9.00 D, with a±5.0%uncertainty in the final correction. What is the range of dioptres for spectacle lenses that this person might need after LASIK procedure? (b) Was the person near-sighted or farsighted before the procedure? How do you know?
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