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A particle is placed in a field characte...

A particle is placed in a field characterized by a value of gravitational potential given by `V=-kxy`, where `k` is a constant. If `vec(E)_(g)` is the gravitational field then

A

`vecE_(g) = k (xveci + y vecj)` and is conservation in nature

B

`vecE_(g) = k (yveci + x vecj)` and is conservation in nature

C

`vecE_(g) = k (xveci + y vecj)` and is non-conservative in nature

D

`vecE_(g) = k (yveci + x vecj)` and is non-conservative in nature

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The correct Answer is:
B
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