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JEE Main & Advanced Physics Ray Optics Question Bank Critical Thinking

  • question_answer
    An astronaut is looking  down on earth's surface from a space shuttle at an altitude of \[400\,km.\] Assuming that the astronaut's pupil diameter is \[5\,mm\] and the wavelength of visible light is \[500\,nm.\] The astronaut will be able to resolve linear object of the size of about                                              [AIIMS 2003]

    A)            0.5 m                                       

    B)            \[5\,m\]

    C)            50 m                                        

    D)            500 m

    Correct Answer: C

    Solution :

                       \[\frac{x}{r}=\frac{1.22\ \lambda }{d}\Rightarrow x=\frac{1.22\ \lambda r}{d}\]            \[=\frac{1.22\times 500\times {{10}^{-9}}\times 400\times {{10}^{3}}}{5\times {{10}^{-3}}}=50\ m\]


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