Question

Unreasonable Results Your friends show you an image through a microscope. They tell you that the microscope has an objective with a 0.500-cm focal length and an eyepiece with a 5.00-cm focal length. The resulting overall magnification is 250,000. Are these viable values for a microscope?

Answer 1

No, these values are not viable for a microscope. The resulting overall magnification is extremely high and not practical for a microscope.

Step-by-step explanation:

No, these values are not viable for a microscope. To determine the overall magnification of a compound microscope, we multiply the magnification of the objective lens by the magnification of the eyepiece. The magnification of the objective lens is given by the formula: magnification = (25 cm / focal length of objective lens). The magnification of the eyepiece is given by the formula: magnification = (25 cm / focal length of eyepiece). Given the focal lengths of 0.500 cm for the objective and 5.00 cm for the eyepiece, the resulting magnification would be:

magnification = (25 cm / 0.500 cm) × (25 cm / 5.00 cm) = 250,000

This is an extremely high magnification value, which is not practical for a microscope. The typical range of magnification for microscopes is between 40x and 2000x. Therefore, these values are not viable for a microscope.