12th Class Physics Magnetic Effects of Current / करंट का चुंबकीय प्रभाव Question Bank Case Based (MCQs) - Moving Charges and Magnetism

  • question_answer
    A charged particle is projected in a magnetic filed \[\overrightarrow{B}=\left( 2\hat{i}+4\hat{j} \right)\times {{10}^{2}}T\]. The acceleration of the particle is found to be \[\overrightarrow{a}=\left( x\hat{i}+2\hat{j} \right)m{{s}^{-2}}\]. Find the value of x.

    A) \[4\,m\,{{s}^{-2}}\]

    B) \[-\,4\,m\,{{s}^{-2}}\]

    C) \[-2\,m\,{{s}^{-2}}\]

    D) \[2\,m\,{{s}^{-2}}\]

    Correct Answer: B

    Solution :

    As \[F\bot B\] Hence, \[a\bot B\] \[\therefore \,\,\,\overrightarrow{a}\,.\,\overrightarrow{B}=0\] \[\Rightarrow \,\,\left( x\hat{i}+2\hat{j} \right)\,.\,\left( 2\hat{i}+4\hat{j} \right)=0\] \[2x+8=0\,\,\Rightarrow x=-4\,m\,{{s}^{-2}}\]


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