J & K CET Engineering J and K - CET Engineering Solved Paper-2013

  • question_answer
    The horizontal and vertical components of earth's magnetic field at a place are \[0.3\text{ }G\] and\[0.52\text{ }G\]. The earth's magnetic field and the angle of dip are

    A)  \[0.3\text{ }G\]and \[\delta ={{30}^{o}}\]

    B)  \[0.4\text{ }G\]and \[\delta ={{40}^{o}}\]

    C)  \[0.5\text{ }G\]and \[\delta ={{50}^{o}}\]   

    D)  \[0.6\text{ }G\]and \[\delta ={{60}^{o}}\]

    Correct Answer: D

    Solution :

    \[{{B}_{E}}=\sqrt{B_{H}^{2}+B_{V}^{2}}\] and \[\tan \,\,\delta =\frac{{{B}_{V}}}{{{B}_{H}}}\] Given, \[{{B}_{H}}=0.39G,\,\,{{B}_{V}}=0.52G\] \[{{B}_{E}}=\sqrt{{{(0.30)}^{2}}+{{(0.52)}^{2}}}=\sqrt{0.36}=0.6\] and                                                    \[\delta ={{\tan }^{-1}}\frac{{{B}_{V}}}{{{B}_{H}}}={{\tan }^{-1}}\frac{0.52}{0.3}={{60}^{o}}\]


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