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Which among the below mentioned operators is supposed to be zero so as to justify the scalar field to be harmonic?


a. Gradient

b. Curl

c. Laplacian

d. Divergence

















ANSWER: Laplacian


Explanation:

A function is said to be harmonic only when its laplacian operator value ▼2f is zero. Similarly, a scalar field is also said to be harmonic only when its laplacian operator becomes zero despite the other operators.