Question

Repeat the previous problem for glasses that are 1.75 cm from the eyes.

Short answer

The far point for glasses that are 1.75 cm from the eyes is 26.8 cm.

Step-by-step solution

what is a myopic view?

Myopia is a vision condition in which visual pictures focus in front of the retina of the eye, creating vision problems of distant objects.

Given information and Formula to be used

$d_i=1.75cm\left(\frac{1m}{100cm}\right)=0.0175m$

The power needed (P) to correct the vision can be obtained using the expression,

$P=\frac{1}{d_0}+\frac{1}{d_i}$

What is her far point for glasses that are 1.75 cm from the eyes?

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

$$\begin{gathered} P=\frac{1}{f} \\ P=\frac{1}{d_0}+\frac{1}{d_i} \end{gathered}$$

Rearrange and solve for the image's distance from the eye, we will get

$$\begin{gathered} d_i=\frac{1}{P-{\displaystyle \frac{1}{\infty }}} \\ =\frac{1}{-4D-{\displaystyle \frac{1}{\infty }}} \\ {d}_i=-0.25m \end{gathered}$$

Hence, for the glasses that are 1.75 cm from the eyes, the distance between the eye and the image will be - 0.25 m - 0.0175 m = 0.268 m or 26.8 cm

Therefore, the far point for glasses that are 1.75 cm from the eyes is 26.8 cm