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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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