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JEE Main & Advanced JEE Main Paper (Held On 10 April 2015)

  • question_answer
    A 25 cm long solenoid has radius 2 cm and 500 total number of turns. It carries a current of 15 A. If it is equivalent to a magnet of the same size and magnetization \[\overset{\to }{\mathop{M}}\,\](magnetic moment/volume), then \[|\overset{\to }{\mathop{M}}\,|\]is: JEE Main Online Paper (Held On 10 April 2015)

    A) \[30000\,A{{m}^{-1}}\]                 

    B) \[3\pi \,A{{m}^{-1}}\]

    C) \[30000\pi \,A{{m}^{-1}}\]          

    D) \[300\,A{{m}^{-1}}\]

    Correct Answer: A

    Solution :

                    \[l=20cm\]                          \[r=2cm\] \[N=500turms\]                                \[i=15A\] \[\overrightarrow{M}=\frac{500\times 15\times \pi \times {{\left( 2\times {{10}^{-2}} \right)}^{2}}}{\pi {{\left( 2\times {{10}^{-2}} \right)}^{2}}\times 25\times {{10}^{-2}}}\] \[=\frac{15\times 500}{25\times {{10}^{-2}}}\]   \[=\frac{7500\times {{10}^{2}}}{25}=30000A{{M}^{-1}}\]


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