JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2011

  • question_answer
        A cube of side 3 m is placed in front of a concave mirror of focal length 2 m with its face P at a distance 4 m and face Q at a distance 7 m from the mirror. What is distance between the images of face P and Q?   

    A)  1.2m                                    

    B)  2.4m

    C)  2.1m                                    

    D)  2.2m

    Correct Answer: A

    Solution :

                    For surface P, we have \[\frac{1}{v}=\frac{1}{f}-\frac{1}{u}\]                 \[=\frac{1}{2}-\frac{1}{4}=\frac{1}{4}\]   or         \[{{v}_{1}}=4m\] For surface Q, we have                 \[{{v}_{2}}=\frac{1}{2}-\frac{1}{7}=\frac{5}{14}\] Or           \[{{v}_{2}}=\frac{14}{5}=2.8\,m\] Therefore, \[{{v}_{1}}-{{v}_{2}}=(4-2.8)=1.2\,m\]


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