Question

Yang can focus on objects $150cm$ away with a relaxed eye. With full accommodation, she can focus on objects $20cm$away. After her eyesight is corrected for distance vision, what will her near point be while wearing her glasses?

Short answer

Near point be while wearing her glasses is $S=23.07cm$.

Step-by-step solution

Given Information.

We need to find out yang's near point while wearing glasses after her sight is corrected for distance vision.

Simplify 

As we know the value of:

$f=150cm$.

As we can conclude that the yang nearsighted. With glasses and wears a virtual image focused to her far point, $\frac{1}{f}=\frac{1}{-150}+\frac{1}{\infty }$and also given the focal length of $-150cm$.

We know the image has a form at $20cm$away for her to see clearly, and using that image to distance to calculate a new near point and also we can follow the way:

$$\begin{gathered} S=\frac{(-150)(-20)}{(-20)-(-150)} \\ S=\frac{3000}{130} \\ S=23.07cm \end{gathered}$$.

Here,$S$is the near point.