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5.Magnetism and Matter
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Two different magnets are tied together and allowed to vibrate in a horizontal plane. When their like poles are joined, time period of oscillation is $5 \,s$ and with unlike poles joined, time period of oscillation is $15 \,s$. The ratio of their magnetic moments is
A
$5: 4$
B
$1: 3$
C
$3: 1$
D
$2: 5$
Solution
(a)
$5=2 \pi \sqrt{\frac{1}{M_1+M_2}}$
$15=2 \pi \sqrt{\frac{I}{M_1-M_2}} \Rightarrow \frac{1}{3}=\sqrt{\frac{M_1-M_2}{M_1+M_2}}$
$\frac{M_1-M_2}{M_1+M_2}=\frac{1}{9}$
$\frac{M_1}{M_2}=\frac{10}{8}=\frac{5}{4}$
Standard 12
Physics
