Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2004

  • question_answer
    A telescope of diameter 2 m uses light of wavelength \[5000\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\] for viewing stars. The minimum angular separation between two stars whose image is seen just resolved by this telescope is

    A) \[0.31\times {{10}^{-6}}\,\text{rad}\]                    

    B)  \[0.25\times {{10}^{-6}}\,\text{rad}\]

    C)  \[0.6\times {{10}^{-3}}\,\text{rad}\]     

    D) \[0.5\times {{10}^{-3}}\,\text{rad}\]

    Correct Answer: A

    Solution :

    Resolving power of a telescope \[d\theta =\frac{1.22\lambda }{a},\]where a is diameter \[=\frac{1.22\times 5000\times {{10}^{-10}}}{2}\] \[=0.31\times {{10}^{-6}}rad\]


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