BCECE Engineering BCECE Engineering Solved Paper-2014

  • question_answer
    One surface of a lens is convex and the other  is concave. If the radii of curvatures are \[{{R}_{1}}\] and \[{{R}_{2}}\],then the lens will be convex, if

    A) \[{{R}_{1}}<{{R}_{2}}\]  

    B) \[{{R}_{1}}>{{R}_{2}}\]

    C) \[{{R}_{1}}={{R}_{2}}\]                  

    D) None  of these

    Correct Answer: A

    Solution :

    Focal length\[\frac{1}{f}=(\mu -1)\left( \frac{1}{{{R}_{1}}}-\frac{1}{{{R}_{2}}} \right)\] For lens to be concave \[\left( \frac{1}{{{R}_{1}}}-\frac{1}{{{R}_{2}}} \right)>0\] \[\Rightarrow \]                               \[\frac{1}{{{R}_{1}}}>\frac{1}{{{R}_{2}}}\] \[\Rightarrow \]               \[{{R}_{1}}<{{R}_{2}}\]                


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