JEE Main & Advanced Physics Magnetism Question Bank Magnetic Equipments

  • question_answer
    Two bar magnets of the same mass, length and breadth but magnetic moments M and 2M respectively, when placed in same position, time period is 3 sec. What will be the time period when they are placed in different position [NCERT 1977; DPMT 1999]

    A)            \[\sqrt{3}\sec \]                 

    B)            \[3\sqrt{3}\sec \]

    C)            \[3\sec \]                               

    D)            \[6\sec \]

    Correct Answer: B

    Solution :

               In sum position \[T\propto \frac{1}{\sqrt{{{M}_{1}}+{{M}_{2}}}}\]and in difference position \[T\propto \frac{1}{\sqrt{{{M}_{1}}-{{M}_{2}}}}\] \[\Rightarrow \frac{{{3}^{2}}}{{{T}^{2}}}=\frac{2M-M}{2M+M}\Rightarrow {{T}^{2}}=9\times 3{{\sec }^{2}}\] \[\therefore \ T=3\sqrt{3}\sec \]


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