$[-/1$ Points$]$

SERCP$1125\mathrm{.}5.$P$\mathrm{.}032.$

An inquiring student makes a refracting telescope by placing an objective lens and an eyepiece at opposite ends of a $47\mathrm{.}0$ cm long tube. If the eyepiece has a focal length of $1\mathrm{.}75$ cm $,$ calculate the required focal length in cm of the objective lens and the angular magnification of the telescope.

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$($a$)$ the required focal length in cm of the objective lens

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$($b$)$ the angular magnification of the telescope

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