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

  • question_answer
    The value of the horizontal component of the earth's magnetic field and angle of dip are \[1.8\times {{10}^{-5}}Weber/{{m}^{2}}\] and 30° respectively at some place. The total intensity of earth's magnetic field at that place will be              [MP PET 1996]

    A)            \[2.08\times {{10}^{-5}}Weber/{{m}^{2}}\]               

    B)            \[3.67\times {{10}^{-5}}Weber/{{m}^{2}}\]

    C)            \[3.18\times {{10}^{-5}}Weber/{{m}^{2}}\]               

    D)            \[5.0\times {{10}^{-5}}Weber/{{m}^{2}}\]

    Correct Answer: A

    Solution :

               Horizontal component \[{{B}_{H}}=B\cos \varphi \]                    Total intensity of earth magnetic field \[B=\frac{{{B}_{H}}}{\cos \varphi }\]                    \[=\frac{1.8\times {{10}^{5}}}{\cos {{30}^{o}}}=\frac{1.8\times {{10}^{-5}}}{\sqrt{3}/2}=2.08\times {{10}^{-5}}Wb/{{m}^{2}}\]


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