12th Class Physics Magnetism Question Bank MCQ - Magnetism and Matter

  • question_answer
    The horizontal and vertical components of Earth's magnetic field at a place are 0.3 G and 0.52 G. The Earth's magnetic field and the angle of dip are:

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

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

    C)             \[0.5\text{ }G\text{ }and\text{ }\delta \text{=5}0{}^\circ \]    

    D) \[0.6\text{ }G\text{ }and\text{ }\delta \text{=6}0{}^\circ \]

    Correct Answer: D

    Solution :

    (d) \[0.6\text{ }G\text{ }and\text{ }\delta \text{=6}0{}^\circ \] Here,             \[{{B}_{H}}=0.3\,\,G,\,\,{{B}_{V}}=0.52\,G\] The Earth's magnetic field, \[B=\sqrt{B_{H}^{2}+B_{V}^{2}}=\sqrt{{{(0.3)}^{2}}+{{(0.52)}^{2}}}=0.6\,G\] and angle of dip, \[\tan \,\delta =\frac{{{B}_{V}}}{{{B}_{H}}}=\frac{0.52}{0.3}=1734\]             \[\delta \,={{\tan }^{-1}}(1.734)=60{}^\circ \]


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