J & K CET Engineering J and K - CET Engineering Solved Paper-2010

  • question_answer
    If the horizontal component of the earth's magnetic field is \[0.30\text{ }G,\] and the dip angle is \[60{}^\circ \] at a given place, then the value of earth's total magnetic field is

    A)  \[0.15\text{ }G\]

    B)  \[0.15\,\sqrt{3}G\]

    C)  \[0.15\,\sqrt{2}G\]

    D)  \[~0.60\text{ }G\]

    Correct Answer: D

    Solution :

    \[{{B}_{H}}=0.30\,G\] Angle of dip \[={{60}^{o}}\] \[B=?\] Earths magnetic field is horizontal only at the magnetic equator. At any other place, the total intensity can be resolved into horizontal  component \[({{B}_{H}})\] and vertical component \[({{B}_{V}})\] Also,  \[{{B}_{H}}=B\,\cos \phi \]  and \[{{B}_{V}}=B\,sin\phi \] where, \[\phi \] is angle of inclination or dip          \[\therefore \] \[0.30=B\,\cos \,{{60}^{o}}\] \[0.30=\frac{B}{2}\] \[\Rightarrow \] \[B=0.60\,G\]


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