JEE Main & Advanced Physics Magnetic Effects of Current / करंट का चुंबकीय प्रभाव Question Bank Motion of Charged Particle In Magnetic Field

  • question_answer
    If a particle of charge \[{{10}^{-12}}\,coulomb\] moving along the \[\hat{x}-\]direction with a velocity \[{{10}^{5}}\,m/s\] experiences a force of \[{{10}^{-10}}\,newton\] in \[\hat{y}-\]direction due to magnetic field, then the minimum magnetic field is         [MP PMT 1994]

    A)            \[6.25\times {{10}^{3}}\,tesla\] in \[\hat{z}-\]direction

    B)            \[{{10}^{-15}}\,tesla\] in \[\hat{z}-\]direction

    C)            \[6.25\times {{10}^{-3}}\,tesla\] in \[\hat{z}-\]direction

    D)            \[{{10}^{-3}}\,tesla\] in \[\hat{z}-\]direction

    Correct Answer: D

    Solution :

                       \[F=qvB\sin \theta \] Þ \[B=\frac{F}{qv\sin \theta }\]                    \[{{B}_{\min }}=\frac{F}{qv}\]      (when q = 90o)            \[\therefore \ {{B}_{\min }}=\frac{F}{qv}=\frac{{{10}^{-10}}}{{{10}^{-12}}\times {{10}^{5}}}={{10}^{-3}}\] Tesla in \[U=\frac{{{B}^{2}}}{2{{\mu }_{0}}},\]-direction.


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