JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति Sample Paper Topic Test - Work Energy Power

  • question_answer
    The potential energy function associated with the force \[\vec{F}=4xy\hat{i}+2{{x}^{2}}\hat{j}\] is:

    A) \[U=-2{{x}^{2}}y\]

    B) \[U=-2{{x}^{2}}y+\] constant

    C) \[U=2{{x}^{2}}y+\]  constant 

    D) not defined

    Correct Answer: B

    Solution :

    [b] \[{{F}_{x}}=-\frac{\partial U}{\partial x}\] or \[{{F}_{y}}=-\frac{\partial U}{\partial x},\]  only [b] option satisfies the criteria.

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