RAJASTHAN PMT Rajasthan - PMT Solved Paper-1995

  • question_answer
    Nucleus of He is revolving in circular orbit of radius 0.8 m. It completes a circle in 2 seconds, then the magnetic induction at the centre of circle is:

    A)  \[{{}_{\text{0}}}\text{ }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-19}}}\text{T}\]   

    B)                        \[\text{1}\text{.6}{{}_{\text{0}}}\text{ }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-19}}}\text{T}\]             

    C)        \[\frac{{{}_{\text{0}}}}{2}\text{ }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-19}}}\text{T}\]            

    D)                         \[\text{2}{{}_{\text{0}}}\text{ }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-19}}}\text{T}\]

    Correct Answer: A

    Solution :

                   Magnetic field \[B=\frac{{{\mu }_{0}}I}{2r}\] \[=\frac{{{\mu }_{0}}\times 1.6\times {{10}^{-19}}}{2\times 0.8}\] \[\left\{ I=\frac{q}{t}=\frac{3.2\times {{10}^{-19}}}{2}=1.6\times {{10}^{-19}} \right\}\]                                 \[={{\mu }_{0}}\times {{10}^{-19}}T\]


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