# The distance between the object and the eyepiece of a compound microscope is 25.0 cm. The focal length of its objective lens is 0.200 cm and the eyepiece has a focal length of 2.60 cm. A person with a near point 25 cm is using the microscope. What is the largest angular magnification obtainable using the eyepiece alone as a magnifying lens?

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In the problem, the near point of the person using the microscope is 25 cm. And the object is located 25 cm from the eyepiece.

Since the object is located at the near point, the angular magnification is at its maximum.

The formula of maximum angular magnification of a lens is:

`m_(max) = 1 + 25/f`

where f is the focal length of the lens.

Since the focal length of the eyepiece is 2.60cm, plug-in f=2.60.

`m_(max) = 1 +25/2.60`

`m_(max)=10.6`

Therefore, the maximum angular magnification of the eyepiece is 10.6 .

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