JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2009

  • question_answer
        The sun subtends an angle of half a degree at the pole of a concave mirror which has a radius of curvature of 15 m. Then the size (diameter) of the image of the sun formed by the concave mirror is

    A)  7.5 cm                                 

    B)  6.55 cm

    C)  3.7cm                                  

    D)  13.1cm

    Correct Answer: B

    Solution :

                    \[\theta =\frac{diameter\text{ }of\text{ }sun}{distance\text{ }of\text{ }sun}\] \[\theta =\frac{diameter\text{ }of\text{ }image}{focal\text{ }length\text{ }of\text{ }concave\text{ }mirror}\] \[\frac{1}{2}\times \frac{\pi }{180}=\frac{diameter\text{ }of\text{ }image}{7.5m}\] \[\therefore \]Diameter of image\[=\frac{\pi }{360}\times 7.5\,m\]                 \[=\frac{3.14\times 7.5}{360}\times 100\,cm\] \[=6.55cm\]


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