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CMC Medical CMC-Medical VELLORE Solved Paper-2007

  • question_answer
    Two points A and B are situated at distance \[x\] and 2\[x\] respectively from the nearer pole of a magnet 2 cm long. The ratio of magnetic field at A and B is:

    A)  4 : 1 exactly       

    B)  4 : 1 approximately

    C)  8 : 1 exactly

    D)  8 : 1 approximately

    Correct Answer: D

    Solution :

                     For a magnet \[B=\frac{{{\mu }_{0}}}{4\pi }\frac{2M}{{{r}^{3}}}\](nearly) \[\Rightarrow \]               \[\frac{{{B}_{2}}}{{{B}_{1}}}={{\left( \frac{{{r}_{1}}}{{{r}_{2}}} \right)}^{3}}\] \[\Rightarrow \]               \[\frac{{{B}_{2}}}{{{B}_{1}}}={{\left( \frac{x}{2x} \right)}^{3}}\] \[\Rightarrow \]               \[\frac{{{B}_{2}}}{{{B}_{1}}}=\frac{1}{8}\] Thus, \[{{B}_{1}}:{{B}_{2}}\]= 8:1 approximately                


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