JEE Main & Advanced Physics Magnetism Question Bank Critical Thinking

  • question_answer
    The true value of angle of dip at a place is 60o, the apparent dip in a plane inclined at an angle of 30o with magnetic meridian is                                                                        [AIEEE 2002]

    A)            \[{{\tan }^{-1}}\frac{1}{2}\]   

    B)            \[{{\tan }^{-1}}(2)\]  

    C)            \[{{\tan }^{-1}}\left( \frac{2}{3} \right)\]                     

    D)            None of these

    Correct Answer: B

    Solution :

                       \[\tan {{\varphi }^{'}}=\frac{\tan \varphi }{\cos \beta };\]where \[{{\varphi }^{'}}\]=Apparent angle of dip,                    \[\varphi \]= True angle of dip, \[\beta \]=Angle made by vertical plane with magnetic meridian.            \[\Rightarrow \tan {{\varphi }^{'}}=\frac{\tan {{60}^{o}}}{\cos {{30}^{o}}}=2\Rightarrow {{\varphi }^{'}}={{\tan }^{-1}}\left( 2 \right)\]


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