JEE Main & Advanced Physics Mathematical Tools, Units & Dimensions Question Bank Self Evaluation Test - Physical World, Units and Measurements

  • question_answer
    In the eqn.\[\left( P+\frac{a}{{{V}^{2}}} \right)(v-b)=cons\text{tant}\], the Unit of a is  

    A) \[dyne\times c{{m}^{5}}\]   

    B)         \[dyne\times c{{m}^{4}}\]

    C)  \[dyne/c{{m}^{3}}\]     

    D)         \[dyne\times c{{m}^{2}}\]

    Correct Answer: B

    Solution :

    [b] As \[\frac{A}{{{V}^{2}}}=P\] \[\therefore \,\,a=P{{V}^{2}}=\frac{dyne}{c{{m}^{2}}}{{(c{{m}^{3}})}^{2}}=dyne\times c{{m}^{4}}\]


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