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RAJASTHAN PMT Rajasthan - PMT Solved Paper-2009

  • question_answer
    The magnetic needle of a tangent galvanometer is deflected by an angle \[30{}^\circ \] due to a magnet. The horizontal component of earths magnetic field is \[0.34\,\times {{10}^{-4}}T\] along the plane of the coil. The intensity of magnetic field of magnet is

    A)  \[1.96\,\times {{10}^{-4}}T\]     

    B)  \[1.96\,\times {{10}^{-5}}T\]

    C)  \[1.96\,\times {{10}^{4}}T\]       

    D)         \[1.96\,\times {{10}^{5}}T\]

    Correct Answer: B

    Solution :

    According to tangent law in magnetism,                 \[B={{B}_{H}}\tan \theta \] Given,   \[{{B}_{H}}=0.34\times {{10}^{-4}}T,\]                 \[\theta ={{30}^{o}}\] \[\therefore \]  \[B=0.34\times {{10}^{-4}}\times \tan {{30}^{o}}\]                 \[=\frac{0.34\times {{10}^{-4}}}{\sqrt{3}}=1.96\times {{10}^{-5}}T\].


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