KVPY Sample Paper KVPY Stream-SX Model Paper-18

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

    A) \[{{10}^{-\,19}}\text{/}{{\mu }_{0}}\]

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

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

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

    Correct Answer: B

    Solution :

    He nucleus revolving in circle behave as current carrying coil of \[i=\frac{q}{T}=\frac{2e}{T}\]
    \[{{B}_{at\,\,center}}=\frac{{{\mu }_{0}}i}{2R}=\frac{{{\mu }_{0}}}{2R}\times \frac{2e}{T}=\frac{{{\mu }_{0}}e}{TR}\]
    \[\frac{{{\mu }_{0}}\times 1.6\times {{10}^{-19}}}{2\times 0.8}={{\mu }_{0}}\times {{10}^{-19}}\]


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