To make the statement true, what must be switched in the following statement: "The objective lens of a refracting telescope is concave and inverts the image"?

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The statement can be made true by changing "concave" to "convex." In a refracting telescope, the objective lens is indeed a convex lens, which is designed to converge light rays to form a real image. Concave lenses, on the other hand, diverge light rays and do not serve the purpose of the objective in a refracting telescope.

While the other options involve significant components of telescope design, they do not specifically address the nature of the objective lens in a refracting telescope. Switching "objective" to "eyepiece" would change the meaning entirely, as the eyepiece is a different part of the telescope with a distinct role. Altering "inverts" to "magnifies" would misrepresent the function of lenses, since the images formed can be inverted depending on their arrangement but magnification itself is a separate characteristic. Changing "refracting" to "reflecting" refers to a different type of telescope that uses mirrors, not lenses, further complicating the statement rather than correcting it. Thus, adjusting "concave" to "convex" directly corrects the misinformation regarding the optical properties of the objective lens in a refracting telescope.

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