CET Karnataka Medical CET - Karnataka Medical Solved Paper-2013

  • question_answer
    A charged particle with a velocity \[2\times {{10}^{3}}m{{s}^{-1}}\] passes unelected through electric field and magnetic fields in mutually perpendicular directions. The magnetic field is 1.5 T. The magnitude of electric field will be

    A)  \[1.5\times {{10}^{3}}N{{C}^{-1}}\]   

    B)  \[2\times {{10}^{3}}N{{C}^{-1}}\]

    C)  \[8\times {{10}^{3}}N{{C}^{-1}}\]

    D)  \[1.33\times {{10}^{3}}N{{C}^{-1}}\]

    Correct Answer: C

    Solution :

     : As the charged particle passes unelected through cross electric and magnetic fields \[\therefore \] \[qE=q\upsilon B,\,\upsilon =\frac{E}{B}\] or  \[E=\upsilon B\] Here, \[\upsilon =2\times {{10}^{3}}m{{s}^{-1}},\,\,B=1.5T\] \[\therefore \] \[E=(2\times {{10}^{3}}m{{s}^{-1}})(1.5T)=3\times {{10}^{3}}N{{C}^{-1}}\]


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