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cse โ€ข paper_1 โ€ข mechanics

[UPSC CSE 2008] Conservation Laws (Q36, 10M)

A force field is given by \bar{F} = (2xy + z^3)\hat{i} + x^2\hat{j} + 3xz^2\hat{k}. Is it a conservative field ? If so, what is the scalar potential ?

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