JEE Main & Advanced JEE Main Paper (Held On 9 April 2014)

  • question_answer
    The magnetic field of earth at the equator is approximately \[4\times {{10}^{-5}}T.\]The radius of earth is \[6.4\times {{10}^{6}}m.\] Then the dipole moment of the earth will be nearly of the order of:   [JEE Main Online Paper ( Held On 09 Apirl  2014  )

    A) \[{{10}^{23}}A{{m}^{2}}\]                            

    B) \[{{10}^{20}}A{{m}^{2}}\]

    C) \[{{10}^{16}}A{{m}^{2}}\]                            

    D) \[{{10}^{10}}A{{m}^{2}}\]

    Correct Answer: A

    Solution :

                    Given,\[B=4\times {{10}^{-5}}T\] \[{{R}_{E}}=6.4\times {{10}^{6}}m\] Dipole moment of the earth M = ? \[B=\frac{{{\mu }_{0}}}{4\pi }\frac{M}{{{d}^{3}}}\] \[4\times {{10}^{-5}}=\frac{4\pi \times {{10}^{-7}}\times M}{4\pi \times {{\left( 6.4\times {{10}^{6}} \right)}^{3}}}\] \[\therefore \]\[M\cong {{10}^{23}}A{{m}^{2}}\]


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