The Keplerian Telescope, invented by Johannes Kepler in \(1611,\) is an improvement on Galileo's design. It uses a convex lens as the eyepiece instead of Galileo's concave one. The above is a schematic design of the Keplerian Telescope, where the center of the objective and eyepiece lenses are \(L_1\) and \(L_2\), respectively. When the distance between them is \(L\), the image of the moon becomes the sharpest. If the focal length of the eyepiece lens is \(f,\) then which of the following statements is NOT correct?

a) The focal length of the objective lens must be larger than \(L.\)

b) The image shown by the eyepiece lens is a virtual image.

c) The distance between the image created by the objective lens and the center of the eyepiece lens is smaller than \(f.\)

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