NEET Sample Paper NEET Sample Test Paper-91

  • question_answer
    A metal sample carrying a current along X-axis with density \[{{J}_{x}}\] is subjected to a magnetic field \[{{B}_{z}}\] (along z-axis). The electric field \[{{E}_{y}}\] developed along Y-axis is directly proportional to \[{{J}_{x}}\] as well as \[{{B}_{z}}.\] The constant of proportionality has SI unit.

    A) \[\frac{{{m}^{2}}}{A}\]                     

    B)        \[\frac{{{m}^{3}}}{As}\]

    C) \[\frac{{{m}^{2}}}{As}\]                    

    D)        \[\frac{As}{{{m}^{3}}}\]

    Correct Answer: B

    Solution :

    [b] According to question \[{{E}_{y}}\,\,\propto \,\,{{J}_{x}}{{B}_{Z}}\] \[\therefore \] Constant of proportionality \[K=\frac{{{E}_{y}}}{{{B}_{Z}}{{J}_{x}}}=\frac{C}{{{J}_{x}}}=\frac{{{m}^{3}}}{As}\] [As \[\frac{E}{B}=C\] (speed of light) and J \[=\frac{I}{\text{Area}}\]]


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