The potential energy for a force field is given by U (x, y) = cos (x + y). The force…

Physics · JEE Advanced · NTA ExamsWork, Energy and Power

The potential energy for a force field is given by                           U (x, y) = cos (x + y). The force acting on a particle at position given by coordinates \(\left(0, \frac{\pi}{4}\right)\) is
  1. \(-\frac{1}{\sqrt{2}}(\hat{i}+\hat{j})\)
  2. \(\frac{1}{\sqrt{2}}(\hat{i}+\hat{j})\)
  3. \(\left(\frac{1}{2} \hat{i}+\frac{\sqrt{3}}{2} \hat{j}\right)\)
  4. \(\left(\frac{1}{2} \hat{i}-\frac{\sqrt{3}}{2} \hat{j}\right)\)

Answer

(B) 1 2 ( i + j )

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