# Problem: A student makes a microscope using an objective lens and an eyepiece.If she moves the lenses closer together, does the microscope's magnification increase or decrease?a) The magnification of a microscope is M = - (L × 25cm)/(fofe) so decreasing the tube length L (while leaving fe the same) would increase the magnificationb) The magnification of a microscope is M = - (L × 25cm)/(fofe) so decreasing the tube length L (while leaving fe the same) would decrease the magnificationc) The magnification of a microscope is M = -(fofe)/(L × 25cm) so decreasing the tube length L (while leaving fe the same) would decrease the magnification.d) The magnification of a microscope is M = -(fofe)/(L × 25cm) so decreasing the tube length L (while leaving fe the same) would increase the magnification.

###### FREE Expert Solution

Magnification in a two-lens microscope:

$\overline{){\mathbf{M}}{\mathbf{=}}{{\mathbf{m}}}_{\mathbf{o}\mathbf{b}\mathbf{j}}{{\mathbf{M}}}_{\mathbf{e}\mathbf{y}\mathbf{e}}{\mathbf{=}}{\mathbf{-}}{\mathbf{\left(}}\frac{\mathbf{L}}{{\mathbf{f}}_{\mathbf{o}\mathbf{b}\mathbf{j}}}{\mathbf{\right)}}{\mathbf{\left(}}\frac{\mathbf{25}\mathbf{c}\mathbf{m}}{{\mathbf{f}}_{\mathbf{e}\mathbf{y}\mathbf{e}}}{\mathbf{\right)}}}$

The length L of the microscope is equal to the distance from the objective lens to the eyepiece.

###### Problem Details

A student makes a microscope using an objective lens and an eyepiece.

If she moves the lenses closer together, does the microscope's magnification increase or decrease?

a) The magnification of a microscope is = - (L × 25cm)/(fofe) so decreasing the tube length L (while leaving fe the same) would increase the magnification

b) The magnification of a microscope is = - (L × 25cm)/(fofe) so decreasing the tube length L (while leaving fe the same) would decrease the magnification

c) The magnification of a microscope is M = -(fofe)/(L × 25cm) so decreasing the tube length L (while leaving fe the same) would decrease the magnification.

d) The magnification of a microscope is M = -(fofe)/(L × 25cm) so decreasing the tube length L (while leaving fe the same) would increase the magnification.