JEE Main & Advanced Chemistry Some Basic Concepts of Chemistry Question Bank Significant figures Units for measurement

  • question_answer The unit J \[P{{a}^{-1}}\]is equivalent to

    A)                 \[{{m}^{3}}\]     

    B)                 \[c{{m}^{3}}\]

    C)                 \[d{{m}^{3}}\]  

    D)                 None of these

    Correct Answer: A

    Solution :

               JPa­­?1; Unit of work is Joule and unit of pressure is Pascal.                    Dimension of Joule i.e. work \[=F\times L\] \[=ML{{T}^{-2}}\times L\]                                                                 \[=\left[ M{{L}^{2}}{{T}^{-2}} \right]\]                    \[\frac{1}{Pa}=\frac{1}{\text{Pressure}}=\frac{1}{\frac{F}{A}}=\frac{1\times A}{F}=\left[ ML{{T}^{-1}} \right]\]                                 So, JPa?1\[=\left[ M{{L}^{2}}{{T}^{2}} \right]\]\[=\left[ {{L}^{2}}\times L \right]\ =\left[ {{L}^{3}} \right]\].


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