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  4. The near vision of an average person is 25 cm. To view an object with an angular magnification of 10 , what should be the power (in diopters) of the microscope?

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Q. The near vision of an average person is $25 \,cm$. To view an object with an angular magnification of $10$ , what should be the power (in diopters) of the microscope?

Ray Optics and Optical Instruments

Solution:

The near vision of an average person is $25 \,cm$.
To view an object with magnification $10$ ,
$m=\frac{D}{f} \Rightarrow f=\frac{D}{m}$
$=\frac{25}{10}=2.5=0.025 \,m$
$P=\frac{1}{0.025}=40\, D$