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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2011

  • question_answer
        Two stars are situated at distance of 8 light years from the earth. These are to be just resolved by a telescope of diameter 0.25 m. If the wavelength of light used is\[5000\,\overset{o}{\mathop{\text{A}}}\,\]then the distance between the stars must be

    A)  \[3\times {{10}^{10}}m\]                            

    B)  \[3.35\times {{10}^{11}}m\]

    C)  \[1.95\times {{10}^{11}}m\]                      

    D)  \[4.32\times {{10}^{10}}m\]

    Correct Answer: C

    Solution :

                    Limit of resolution of the telescope \[\alpha =\frac{1.22\lambda }{a}=\frac{d}{x}\] Or           \[d=\frac{1.22\lambda \,x}{a}\]                 \[=\frac{1.22\times 5\times {{10}^{-7}}\times 8\times {{10}^{16}}}{0.25}\]                 \[=1.95\times {{10}^{11}}m\]


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