1.

In a certain region of space, the potential is given by `V=k(2x^(2)-y^(2)+z^(2))`. The electric field at the point (1, 1, 1) has magnitude:A. `k sqrt(6)`B. `2k sqrt(6)`C. `2k sqrt(3)`D. `4k sqrt(3)`

Answer» Correct Answer - B
`E=-((delV)/(delx)hati+(del V)/(del y)hatj+(delV)/(del z)hatk)=-k[4xhati-2yhatj+2zhatk]`
`=-k[sqrt(16+4+4)]=2k sqrt(6)`


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