Respuesta :

To solve this problem we will apply the concept related to the lens power with which farsightedness can be corrected. Mathematically this value is given by the relationship,

[tex]P = \frac{1}{f}[/tex]

Here,

f =focal length

In turn, said expression can be exposed in terms of the distance of the object and the image as:

[tex]P = \frac{1}{p}+\frac{1}{q}[/tex]

Here,

p = Object Distance ( By convention is 25cm)

q = Image distance

Replacing we have,

[tex]P = \frac{1}{0.25}+\frac{1}{-0.75}[/tex]

[tex]P = +2.67D[/tex]

Therefore the power lens that is needed to correct for farsightedness is +2.67D