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2 votes
What is the maximum useful magnification of a microscope if its objective lens has a

numerical aperture of 0.9?
A) 500 - 1000
B) 250 - 500
C) 5000 - 10,000
D) 450 - 900
E) 50 - 100

1 Answer

5 votes

Final answer:

For a microscope with a numerical aperture of 0.9, the maximum useful magnification ranges approximately between 900x and 1,350x. The provided values of a microscope resulting in 250,000x magnification are not viable as the typical upper limit for normal optical microscopes is around 1,500x.The correct answer is option D.

Step-by-step explanation:

The answer to the question regarding the maximum useful magnification of a microscope with an objective lens that has a numerical aperture of 0.9 is not provided directly in any examples mentioned. However, we can reflect on the principles that determine the maximum useful magnification of a microscope.



The maximum useful magnification of a microscope is typically around 1,000 to 1,500 times the numerical aperture. Therefore, for a numerical aperture of 0.9, the useful magnification would range approximately between 900x and 1,350x. This suggests that the answer would likely fall between option D) 450 - 900 and a value slightly higher than this range but not as high as the options suggesting magnifications in the range of several thousands.



Regarding the scenario presented about a microscope with a 0.500 cm focal length objective lens and a 5.00 cm focal length eyepiece resulting in an overall magnification of 250,000, this is not a viable value. Normal optical microscopes usually have a maximum magnification around 1,500x due to limitations such as diffraction.

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