NEET Sample Paper NEET Sample Test Paper-10

  • question_answer
    A point charge q moves from point P to point S along the path PQRS in a uniform electric field E pointing parallel to the positive direction of the x-axis, the coordinate of the points P,Q,R and S are \[(a,b,0)\,\,(2a,0,0),\,(a-b,0)\] and \[(0,0,0)\] respectively. The work done by the field in the above process is given by the expression:            

    A)  \[qaE\]               

    B)  \[-qaE\]

    C)  \[q\sqrt{({{a}^{2}}+{{b}^{2}})}E\]           

    D)  \[3qE\sqrt{{{a}^{2}}+{{b}^{2}}}\]

    Correct Answer: B

    Solution :

    The work done is independent of the path followed and is equal to \[(qE)\,r,\] Where,     r = displacement vector, \[PS=-ai-aj,\] while \[E=Ei\] Work \[=qE.\,\,r=-qaE\]


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