JCECE Medical JCECE Medical Solved Paper-2010

  • 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 \[{{f}_{e}}=-9cm\]

    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 \[{{f}_{e}}=6\,cm\]

    Correct Answer: D

    Solution :

     In this case \[|m|=\frac{{{f}_{0}}}{{{f}_{e}}}=5\] ?(i) and length of telescope \[={{f}_{o}}+{{f}_{e}}=36\] ?(ii) Solving Eqs. (i) and (ii), we get \[{{f}_{e}}=6\,cm,{{f}_{o}}=30\,cm\]


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