BCECE Engineering BCECE Engineering Solved Paper-2010

  • question_answer
    A proton enters a magnetic field of flux density \[1.5\,Wb/{{m}^{2}}\] with a speed of \[2\times {{10}^{7}}\,m/s\] at angle of 30° with the field. The force on a proton will be

    A)  \[\text{0}\text{.24 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-12}}}\,\text{N}\]                

    B)  \[\text{2}\text{.4 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-12}}}\,\text{N}\]

    C)  \[\text{24 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-12}}}\,\text{N}\]                 

    D)         \[\text{0}\text{.024 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-12}}}\,\text{N}\]

    Correct Answer: B

    Solution :

    Magnetic force, \[F=qvB\sin \theta \]                 \[\therefore \]\[F=(1.6\times {{10}^{-19}})\times (2\times {{10}^{7}})\times (1.5)sin{{30}^{o}}\]                 \[F=1.6\times {{10}^{-12}}\times 2\times 1.5\times \frac{1}{2}\]                 \[F=2.4\times {{10}^{-12}}N\]


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