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The Laplacian operator cannot be used in which one the following?

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The Laplacian operator cannot be used in which one the following?

(a) Two dimensional heat equation

(b) Two dimensional wave equation

(c) Poisson equation

(d) Maxwell equation

I had been asked this question at a job interview.

This intriguing question comes from Laplacian Operator in section Vector Calculus of Electromagnetic Theory

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Right option is (d) Maxwell equation

Explanation: Poisson equation, two-dimensional heat and wave equations are general cases of Laplacian equation. Maxwell equation uses only divergence and curl, which is first order differential equation, whereas Laplacian operator is second order differential equation. Thus Maxwell equation will not employ Laplacian operator.

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