AMU Medical AMU Solved Paper-1996

  • question_answer
    The electic potentials (in volts) at four points A,B,C and D are depicted in the figure. On which of the following paths will the work done on a charge of\[+2C\]be maximum. \[\begin{align}   & \bullet (+2V) \\  & \,\,\,\,\,D \\ \end{align}\] \[\begin{align}   & \bullet (-3V) \\  & \,\,\,\,\,C \\ \end{align}\] \[\begin{align}   & \bullet (+1V) \\  & \,\,\,\,\,B \\ \end{align}\] \[\begin{align}   & \bullet (-1V) \\  & \,\,\,\,\,A \\ \end{align}\]

    A)  ABC           

    B)  AD

    C)  BAD           

    D)  BC

    Correct Answer: D

    Solution :

    : Work done = (Potential difference)\[Q\] \[{{W}_{ABC}}=[({{V}_{A}}-{{V}_{B}})+({{V}_{B}}-{{V}_{C}})]Q=({{V}_{A}}-{{V}_{C}})Q\] \[=2Q\] \[{{W}_{AD}}=({{V}_{A}}-{{V}_{D}})Q=(-1-2)Q=-3Q\] \[{{W}_{BAD}}=[({{V}_{B}}-{{V}_{A}})+({{V}_{A}}-{{V}_{D}})]Q=({{V}_{B}}-{{V}_{D}})Q\] \[=(1-2)Q=-1Q\] \[{{W}_{BC}}=({{V}_{A}}-{{V}_{C}})Q=(1+3)Q=4Q\] \[\therefore \]Maximum work is done along path BC.


You need to login to perform this action.
You will be redirected in 3 sec spinner