The distance between the lenses in a compound microscope is 18 cm. the focal length of the objective is 1.5 cm. if the microscope is to provide an angular magnification of -58 when used by a person with a normal near point (25 cm from the eye), what must be the focal length of the eyepiece?

The focal length of the eyepiece is 4.012 cm.

Explanation:

Given that,

Focal length = 1.5 cm

angular magnification = -58

Distance of image = 18 cm

We need to calculate the focal length of the eyepiece

Using formula of angular magnification

Where,

= distance between the lenses in a compound  microscope

=focal length of eyepiece

=focal length of the object

N = normal point

Put the value into the formula

Hence,  The focal length of the eyepiece is 4.012 cm.

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