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A myopic (nearsighted) person has a far point distance of 110 cm. What is the refractive power of his ideally prescribed eyeglasses if he wears his eyeglasses a distance of 3.0 cm from his eyes?

Respuesta :

Answer:

The power of his ideally prescribed eyeglasses is 1.0 D.

Explanation:

Given that,

Image distance = 110 cm

We know that,

Object distance = ∞

We need to calculate the focal length

Using formula of lens

[tex]\dfrac{1}{f}=\dfrac{1}{u}+\dfrac{1}{v}[/tex]

Put the value into the formula

[tex]\dfrac{1}{f}=\dfrac{1}{-110}+\dfrac{1}{\infty}[/tex]

[tex]f=-110\ cm[/tex]

We need to calculate the power of his ideally prescribed eyeglasses

Using formula of power

[tex]P=\dfrac{100}{f}[/tex]

[tex]P=\dfrac{100}{110}[/tex]

[tex]P=0.90 = -1.0\ D[/tex]

Hence, The power of his ideally prescribed eyeglasses is 1.0 D.