Question:

Consider a two-dimensional force field
\(\overrightarrow{F}(x,y) = (5x^2 + ay^2 + bxy)\hat{x} + (4x^2 + 4xy + y^2) \hat{y}\).
If the force field is conservative, then the values of a and b are

Updated On: Oct 1, 2024
  • a = 2 and b = 4
  • a = 2 and b = 8
  • a = 4 and b = 2
  • a = 8 and b = 2
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The Correct Option is B

Solution and Explanation

The correct answer is (B) : a = 2 and b = 8
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