AIIMS AIIMS Solved Paper-2008

  • question_answer
    A thin glass (refractive index 1.5) lens has optical power of -5 D in air. Its optical power in a liquid medium with refractive index 1.6 will be

    A)  1 D                                        

    B)  -1 D                      

    C)  25 D                     

    D)        -25 D

    Correct Answer: A

    Solution :

    \[\text{ }\!\![\!\!\text{ }{{\text{M}}^{\text{0}}}{{\text{L}}^{\text{0}}}{{\text{T}}^{\text{1}}}\text{ }\!\!]\!\!\text{ = }\!\![\!\!\text{ }{{\text{M}}^{\text{-y+z}}}{{\text{L}}^{\text{x+3y+2z}}}{{\text{T}}^{\text{-x-2y-z}}}\text{ }\!\!]\!\!\text{ }\] \[-y+z=0\]       ?.(i) and  \[x+3y+2z=0\] \[-x-2y-z=1\]    ?..(ii) Thus,  \[x=-\frac{5}{2},y=z=\frac{1}{2}\] \[[{{G}^{1/2}}{{h}^{1/2}}{{c}^{-5/2}}]\] \[{{v}_{1}}\]       \[{{v}_{2}}\] \[{{m}_{1}}{{v}_{1}}-{{m}_{2}}{{v}_{2}}=0\] \[\Rightarrow \]    \[{{m}_{1}}{{v}_{1}}={{m}_{2}}{{v}_{2}}\]


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