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5.Magnetism and Matter
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The time period of oscillation of a magnet in a vibration magnetometer is $1.5$ seconds. The time period of oscillation of another magnet similar in size, shape and mass but having one-fourth magnetic moment than that of first magnet, oscillating at same place will be.....$sec$
A
$0.75$
B
$1.5$
C
$3$
D
$6$
Solution
(c)$T \propto \frac{1}{{\sqrt M }} \Rightarrow \frac{{{T_1}}}{{{T_2}}} = \sqrt {\frac{{{M_2}}}{{{M_1}}}} \Rightarrow \frac{{1.5}}{{{T_2}}} = \sqrt {\frac{{{M_1}/4}}{{{M_1}}}} = \frac{1}{2}$
$ \Rightarrow {T_2} = 3\,\sec $
Standard 12
Physics
