NEET Sample Paper NEET Sample Test Paper-72

  • question_answer
    A particle having charge q and mass m is projected with velocity \[\vec{\nu }=2\hat{i}-3\hat{j}\] in uniform electric field \[\vec{E}={{E}_{0}}\,.\,\hat{j}\]. Change in momentum \[\left| \Delta \vec{p} \right|\] during any time interval t is given by

    A) \[\sqrt{13}\,\,M\]                       

    B) \[q{{E}_{0}}t\]

    C) \[\frac{q{{E}_{0}}t}{m}\]                    

    D) zero

    Correct Answer: B

    Solution :

    The product of force and time interval is called impulse. Also from Newton?s second law, we have \[\vec{F}=m\vec{a}=m\,\frac{\vec{\Delta }\nu }{\Delta t}\] \[\vec{F}.\Delta t=m\Delta \vec{\nu }=\Delta \,\vec{p}\] At The force on charge q due to electric field is\[q{{E}_{0}}\]. \[\therefore \,\,\,\,\,\,\,\,\operatorname{Impulse}=q{{E}_{0}}t.\]


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