12th Class Physics Electrostatics & Capacitance Question Bank Case Based (MCQs) - Electrostatic Potential and Capacitance

  • question_answer
    Direction: Q.6 to Q.10
    Potential difference \[\left( \Delta V \right)\]between two points A and B separated by a distance x, in a uniform electric field E is given by \[\Delta V=-Ex\]where x is measured parallel to the field lines. If a charge \[{{q}_{0}}\]moves from P to Q, the change in potential energy \[\left( \Delta U \right)\]is given as \[\Delta U={{q}_{0}}\Delta V\]. A proton is released from rest in uniform electric field of magnitude \[4.0\times {{10}^{8}}V{{m}^{-1}}\]directed along the positive X-axis. The proton undergoes a displacement of 0.25 m in the direction of E.
    Mass of a proton \[=1.66\times {{10}^{-27}}kg\]and charge of proton\[=1.6\times {{10}^{-19}}C\]
    Read the given passage carefully and give the answer of the following questions.
    The change in electric potential of the proton between the points A and B is:

    A) \[-1\times {{10}^{8}}V\]

    B)   \[1\times {{10}^{8}}V\]

    C) \[6.4\times {{10}^{-19}}V\]     

    D) \[-6.4\times {{10}^{-19}}V\]

    Correct Answer: A

    Solution :

    (a) \[-1\times {{10}^{8}}V\] \[\Delta V=-E\,\Delta x\] \[=-\left( 4\times {{10}^{8}} \right)\times 0.25=-{{10}^{-19}}V\]


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