question_answer

An astronomical telescope has an angular magnification of magnitude \[5\] for distant objects. The separation between the objective and the eye-piece is \[36\,\,cm\] and the final image is formed at infinity. The focal length \[{{f}_{o}}\] of the objective and the focal length \[{{f}_{e}}\] of the eye-piece are

A) \[{{f}_{o}}=45\,\,cm\]and\[{{f}_{e}}=-9\,\,cm\]

B) \[{{f}_{o}}=-7.2\,\,cm\]and\[{{f}_{e}}=5\,\,cm\]

C) \[{{f}_{o}}=50\,\,cm\]and\[{{f}_{e}}=10\,\,cm\]

D)  \[{{f}_{o}}=30\,\,cm\]and\[{{f}_{e}}=6\,\,cm\]