NEET Sample Paper NEET Sample Test Paper-14

  • question_answer The potential of the electric field produced by a point charge at any point\[(x,y,z)\] is given by; \[V=3{{x}^{2}}+5,\] where \[x,\text{ }y,\text{ }z\]are in metres and V is in volt. The intensity of the electric field at (-2, 1,0) is

    A)  \[+17\,V{{m}^{-1}}\]                    

    B) \[-17\,V{{m}^{-1}}\]

    C) \[+12\,V{{m}^{-1}}\]                     

    D) \[-12\,V{{m}^{-1}}\] 

    Correct Answer: C

    Solution :

    \[V=3{{x}^{2}}+5\] \[E=-\frac{dV}{dx}=-\frac{d}{dx}(3{{x}^{2}}+5)=-6x\] At \[(-2,1,0),E=-6(-2)=12\,V/m.\] Hence, the correction option is [c].

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