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CMC Medical CMC-Medical VELLORE Solved Paper-2014

  • question_answer
    The frequency of vibration in a vibration magnetometer of the combination of two bar magnets of magnetic moments \[{{M}_{1}}\] and \[{{M}_{2}}\]is 6 Hz when like poles are tied and it is 2 Hz when the unlike poles are tied together , then the ratio \[{{M}_{1}}:{{M}_{2}}\]is

    A)  4 : 5                                      

    B)  5 : 4

    C)  1 : 3                                      

    D)  3 : 1

    Correct Answer: B

    Solution :

                    In the sum and difference method of vibration magnetometer \[\frac{{{M}_{1}}}{{{M}_{2}}}=\frac{T_{2}^{2}+T_{1}^{2}}{T_{2}^{2}-T_{1}^{2}}\] Here,     \[{{T}_{1}}=\frac{1}{{{n}_{1}}}=\frac{1}{6}s\] \[{{T}_{2}}=\frac{1}{{{n}_{2}}}=\frac{1}{2}s\] \[\frac{{{M}_{1}}}{{{M}_{2}}}=\frac{\frac{1}{4}+\frac{1}{36}}{\frac{1}{4}-\frac{1}{36}}=\frac{\frac{9+1}{36}}{\frac{9-1}{36}}\] \[\frac{10}{8}=\frac{5}{4}\] \[{{M}_{1}}:{{M}_{2}}=5:4\]


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