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Chapter 26: Q23PE (page 956)

Repeat the previous problem for glasses that are 2.20 cm from the eyes.

Short Answer

Expert verified

The child's near point is 0.297 m.

Step by step solution

01

How do contact lenses work?

Contact lenses operate by bending light to bring it into focus on the retina, where vision receptors collect data and send it to the brain.

02

Given information and Formula to be used

P= 0.750D

You know that the near point for a normal relaxed eye is 0.25 m.

The power of the lens is equal to the reciprocal of the focal length is,

P=1fP=1d0+1di…………………..(1)

03

What is the child's near point?

Rearrange the distance between the far point and the person's eyes and solve equation (1) for it, where we obtained after substituting data values,

1d0=P-1did0=1P-1d=10.750D-10.25m-0.022md0=0.275m

Solve for the glasses that are 2.2 cm, we will get

d0=x-2.2cm1m100cmx=d0+0.22mx=0.275m+0.22mx=0.297m

Therefore, the near point for the child is 0.297 m.

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Most popular questions from this chapter

What is the angular magnification of a telescope that has a100cm focal length objective and a2.50cm focal length eyepiece?

A 7.5×binocular produces an angular magnification of-7.50 , acting like a telescope. (Mirrors are used to make the image upright.) If the binoculars have objective lenses with a 75.0cm focal length, what is the focal length of the eyepiece lenses?

Consider a telescope of the type used by Galileo, having a convex objective and a concave eyepiece as illustrated in Figure 26.23(a). Construct a problem in which you calculate the location and size of the image produced. Among the things to be considered are the focal lengths of the lenses and their relative placements as well as the size and location of the object. Verify that the angular magnification is greater than one. That is, the angle subtended at the eye by the image is greater than the angle subtended by the object.

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

(a) The print in many books averages 3.50 mmin height. How high is the image of the print on the retina when the book is held 30.0 cmfrom the eye?

(b) Compare the size of the print to the sizes of rods and cones in the fovea and discuss the possible details observable in the letters. (The eye-brain system can perform better because of interconnections and higher order image processing.)

A very myopic man has a far point of 20.0 cm. What power contact lens (when on the eye) will correct his distant vision?
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