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5.Magnetism and Matter
medium
A bar magnet $A$ of magnetic moment $M_A$ is found to oscillate at a frequency twice that of magnet $B$ of magnetic moment $M_B$ when placed in a vibrating magneto-meter. We may say that
A
${M_A} = 2{M_B}$
B
${M_A} = 8{M_B}$
C
${M_A} = 4{M_B}$
D
${M_B} = 8{M_A}$
Solution
(c)$\nu = \frac{1}{{2\pi }}\sqrt {\frac{{M{B_H}}}{I}} \Rightarrow \nu \propto \sqrt M $
$ \Rightarrow \frac{{{\nu _A}}}{{{\nu _B}}} = \sqrt {\frac{{{M_A}}}{{{M_B}}}} \Rightarrow \frac{2}{1} = \sqrt {\frac{{{M_A}}}{{{M_B}}}} \Rightarrow {M_A} = 4{M_B}$
Standard 12
Physics