A) \[\sqrt{3}\,\,\,\sec \]
B) \[3\sqrt{3}\,\,\,\sec \]
C) 3 sec
D) 6 sec
Correct Answer: B
Solution :
Time period of magnet oscillating in uniform \[B=T-2\pi \sqrt{\frac{I}{MB}}\] |
M = Magnetic moment \[T\propto \frac{1}{\sqrt{M}}\] |
\[{{M}_{net}}\] of the combination = \[M+2M=3M\] |
\[{{T}_{1}}\propto \frac{1}{\sqrt{3M}}\] |
\[{{M}_{net}}\] of the combination \[=2M-M=M\] |
\[{{T}_{2}}\propto \frac{1}{\sqrt{M}}\] |
\[\frac{{{T}_{1}}}{{{T}_{2}}}=\sqrt{\frac{M}{3M}}\]\[\Rightarrow {{T}_{2}}=\sqrt{3}\,\,{{T}_{1}}\] |
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