NEET Physics Mathematical Tools, Units & Dimensions Question Bank Dimensions

  • question_answer
     Density of a liquid in CGS system is 0.625\[g/c{{m}^{3}}\]. What is its magnitude in SI system? [J&K CET 2005]

    A)             0.625  

    B)             0.0625

    C)             0.00625

    D)               625

    Correct Answer: D

    Solution :

                    CGS        SI             \[{{N}_{1}}{{U}_{1}}={{N}_{2}}{{U}_{2}}\]             \[{{N}_{1}}\left[ {{M}_{1}}L_{1}^{-3} \right]={{N}_{2}}\left[ {{M}_{2}}L_{2}^{-3} \right]\]             \[\therefore \]  \[{{N}_{2}}={{N}_{1}}\left[ \frac{{{M}_{1}}}{{{M}_{2}}} \right]\times {{\left[ \frac{{{L}_{1}}}{{{L}_{2}}} \right]}^{-3}}\] \[=0.625\left[ \frac{1g}{1kg} \right]\times {{\left[ \frac{1cm}{1m} \right]}^{-3}}\]             \[=0.625\times {{10}^{-3}}\times {{10}^{6}}=625\]


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