RAJASTHAN ­ PET Rajasthan PET Solved Paper-2005

  • question_answer
    A helium nucleus makes a full rotation in a circle of radius 0.8 m in 2s. The value of the magnetic field at the centre of the circle will be

    A)  \[{{\mu }_{0}}\,\times \,{{10}^{-19}}\,T\]

    B)  \[1.6\,\times {{\mu }_{0}}\,\times \,{{10}^{-19}}\,T\]

    C)  \[3{{\mu }_{0}}\,\times \,{{10}^{-19}}\,T\]

    D)  \[2{{\mu }_{0}}\,\times \,{{10}^{-19}}\,T\]

    Correct Answer: A

    Solution :

     The magnetic field at centre \[B=\frac{{{\mu }_{0}}I}{2r}=\frac{{{\mu }_{0}}(q-t)}{2r}\] \[=\frac{{{\mu }_{0}}\times 2\times 1.6\times {{10}^{-19}}}{2\times 0.8\times 2}\] \[B={{\mu }_{0}}\times {{10}^{-19}}T\]


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