If the magnification of a compound microscope when the final image forms at the near point is \(14\%\) greater than its magnification when the final image forms at infinity, then the ratio of the focal length of the eyepiece to the least distance of distinct vision is
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For a compound microscope,
\[
\boxed{
M_\infty=\frac{L}{f_o}\cdot\frac{D}{f_e},
\qquad
M_D=\frac{L}{f_o}\left(1+\frac{D}{f_e}\right)
}
\]