JEE Main & Advanced Physics Magnetism Question Bank Earth's Magnetism

  • question_answer
    At a place the earth's horizontal component of magnetic field is \[0.36\times {{10}^{-4}}weber/{{m}^{2}}\]. If the angle of dip at that place is 60o, then the vertical component of earth's field at that place in weber/m2 will be approximately                    [MP PMT 1985]

    A)            \[0.12\times {{10}^{-4}}\]      

    B)            \[0.24\times {{10}^{-4}}\]

    C)            \[0.40\times {{10}^{-4}}\]      

    D)            \[0.62\times {{10}^{-4}}\]

    Correct Answer: D

    Solution :

               From the relation \[{{B}_{H}}=B\cos \varphi \]and \[{{B}_{V}}=B\sin \varphi \]                    \[\frac{{{B}_{V}}}{{{B}_{H}}}=\tan \varphi \]or \[{{B}_{V}}={{B}_{H}}\tan \varphi \] \[=0.36\times {{10}^{-4}}\times \tan {{60}^{o}}=0.623\times {{10}^{-4}}\ Wb/{{m}^{2}}\]


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