JEE Main & Advanced JEE Main Paper (Held On 26 May 2012)

  • question_answer
    A telescope of aperture \[3\times {{10}^{-2}}m\] diameter is focused on a window at 80 m distance fitted with a wire mesh of spacing \[2\times {{10}^{-3}}m\]. Given:\[\lambda =5.5\times {{10}^{-7}}m,\]which of the following is true for observing the mesh through the telescope?   JEE Main Online Paper (Held On 26-May-2012)  

    A)  Yes, it is possible with the same aperture size.

    B) Possible also with an aperture half the present diameter.

    C) No, it is not possible.

    D) Given data is not sufficient.

    Correct Answer: A

    Solution :

    Given:\[d=3\times {{10}^{-2}}m\] \[\lambda =5.5\times {{10}^{-7}}m\] Limit of resolution, \[\Delta \theta =\frac{1.22\lambda }{d}\] \[=\frac{1.22\times 5.5\times {{10}^{-7}}}{3\times {{10}^{-2}}}=2.23\times {{10}^{-5}}red.\] At a distance of 80 m , the telescope is able to resolve between two points which are separated by \[2.23\times {{10}^{-5}}\times 80m\]\[=1.78\times {{10}^{-3}}m\]


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