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Concept explainers
(a)
The refractive power of the corrective eyeglass lens to enable the man to clearly see distant objects.
(a)
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Answer to Problem 30P
The refractive power of the corrective eyeglass lens to enable the man to clearly see distant objects is
Explanation of Solution
Refractive power of a lens is the reciprocal of its focal length.
Here,
Write the lens equation.
Here,
Put equation (II) in equation (I).
Conclusion:
To clear distant objects, the object distance of the lens should be infinity.
Given that the man cannot see objects farther than
Find the image distance of the lens.
Substitute
Therefore, the refractive power of the corrective eyeglass lens to enable the man to clearly see distant objects is
(b)
The near point of the man can see clearly with and without his glasses.
(b)
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Answer to Problem 30P
The near point of the man with his glasses is
Explanation of Solution
Use equation (III) to find the refractive power of eye.
Here,
Substitute
It is given that the power of accommodation of the eye is
Find the refractive power of the eye using the accommodation.
Here,
Rewrite equation (I) for
Put equation (I) in the above equation.
Replace
Write the equation for the refractive power of the eye with the glasses.
Here,
Substitute
Find the refractive power of the eye with the glasses using the accommodation.
Here,
Replace
Conclusion:
Substitute
Substitute
Therefore, the near point of the man with his glasses is
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Chapter 24 Solutions
Physics
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