Question

2. Which of the following is a mathematically incorrect expression?
(A) Grad div
(B) Grad curl
(C) Div curl
(D) Curl grad

Answer 1

div curl

Explanation:

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Answer 2

Grad curl

Explanation:

• Gradient is a vector operator which operates on a scalar function to produce a vector whose magnitude is maximum rate of change of function at the point of gradient.
• Divergence is a extent to which  a vector field behaves like a source of flux.
• Curl is a vector operator which describes the rotation of a vector field in three dimensional space.

1. Grad of div
2. div of curl
3. curl of grad can be represented mathematically as shown in figure.

• the div of curl is zero and curl of gradient is zero as well.
• While other options are mathematically feasible grad of curl holds no meaning and so this is our answer