A) \[7.16\times {{10}^{-7}}kg\text{ }{{m}^{2}}\]
B) \[14.32\times {{10}^{7}}kg\text{ }{{m}^{2}}\]
C) \[3.58\times {{10}^{-7}}kg\text{ }{{m}^{2}}\]
D) none of these
Correct Answer: A
Solution :
Here: Magnetic moment of bar magnet \[M=5\times {{10}^{-50}}\Omega -m\] Magnetic induction\[B=8\pi \times {{10}^{-4}}\]testa Period of oscillation of the magnet is given by, \[T=2\pi \sqrt{\frac{I}{MB}}\] \[{{T}^{2}}=4{{\pi }^{2}}\frac{I}{MB}\] Or \[I=\frac{{{T}^{2}}}{4{{\pi }^{2}}}.MB\] \[=\frac{{{15}^{2}}}{4\times {{(3.14)}^{2}}}\times 5\times {{10}^{-5}}\times 8\pi \times {{10}^{-4}}\] \[=7.16\times {{10}^{-7}}kg-{{m}^{2}}\]
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