Q31. The expression curl (grad
f) where fis a scalar function is
(A) equal to 4
(6) equal to div(grad
(C) a scalar of zero magnitude
(D) a vector of zero magnitude
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The correct answer is option (D) a vector of zero magnitude.
Explanation:
- The expression curl (grad f) where fis a scalar function is a vector of zero magnitude.
- In a scalar field there can be no difference, so the curl of the gradient is zero.
- In vector calculus, the curl is a vector operator that describes the infinitesimal circulation of a vector field in three-dimensional Euclidean space.
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