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RAJASTHAN PMT Rajasthan - PMT Solved Paper-2010

  • question_answer
    Two magnets are held together in a vibration magnetometer and are allowed to oscillate in the earths magnetic field with like poles together, 12 oscillations per minute are made but for unlike poles together only 4 oscillations per minute are executed. The ratio of their magnetic moments is

    A)  3 : 1                                      

    B)  1 : 3

    C)  3 : 5                      

    D)         5 : 4

    Correct Answer: D

    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,     \[{{T}_{1}}=\frac{1}{{{n}_{1}}}=\frac{60}{12}=5s\]                 \[{{T}_{2}}=\frac{1}{{{n}_{2}}}=\frac{60}{4}=15\,\,s\] \[\therefore \]  \[\frac{{{M}_{1}}}{{{M}_{2}}}=\frac{{{15}^{2}}+{{5}^{2}}}{{{15}^{2}}-{{5}^{2}}}=\frac{225+25}{225-25}=\frac{5}{4}\]


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