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Assume that the near point of a person is 25.0 cm. What is the maximum magnification that can be obtained with a lens with a focal length of 2.10 x 10^1 cm?

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Final answer:

The maximum magnification that can be obtained with a lens with a focal length of 2.10 x 10^1 cm is 1.12.

Step-by-step explanation:

The maximum magnification that can be obtained with a lens with a focal length of 2.10 x 101 cm is calculated using the formula for magnification:

Magnification (M) = - do/f

where do is the object distance and f is the focal length of the lens.

Given that the near point of a person is 25.0 cm, the object distance (do) is 25.0 cm - 1.5 cm (the distance between the eye and the lens), which is 23.5 cm. The maximum magnification can be obtained by substituting these values into the formula:

Magnitude of Maximum Magnification = | (-23.5 cm) / (2.10 x 101 cm) | = 1.12

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