JEE Main & Advanced Physics Magnetism Question Bank Critical Thinking

  • question_answer
    A dip circle is adjusted so that its needle moves freely in the magnetic meridian. In this position, the angle of dip is 40°. Now the dip circle is rotated so that the plane in which the needle moves makes an angle of 30° with the magnetic meridian. In this position the needle will dip by an angle [DCE 2005]

    A)            40°

    B)            30°

    C)            More than 40°                     

    D)            Less than 40°

    Correct Answer: C

    Solution :

                       \[\tan \theta =\frac{B_{V}^{{}}}{{{B}_{H}}}\]               ... (i) If apparent dip is \[\theta '\] then \[\tan \theta '=\frac{B{{'}_{V}}}{{B}'_{H}^{{}}}=\frac{{{B}_{V}}}{{{B}_{H}}\cos 30{}^\circ }=\frac{B_{V}^{{}}}{B_{H}^{{}}\times \frac{\sqrt{3}}{2}}\] Þ \[\tan \theta '=\left( \frac{2}{\sqrt{3}} \right)\tan \theta \Rightarrow \,\tan \theta '>\tan \theta \] Þ \[\theta '>\theta \]


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