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  • A bar magnet of magnetic moment M and moment of inertia I undergoes small oscillations in a vertical plane. This vertical plane makes <img alt="60^{o}" src="https://entrancecorner.oncodecogs.c

A bar magnet of magnetic moment M and moment of inertia I undergoes small oscillations in a vertical plane. This vertical plane makes 60^{o} with the magnetic meridian. B_{x} \; and \; B_{y} represent horizontal and vertical components of the magnetic field at the location of oscillation. Time period of oscillation of the magnet is

Option: 1

2\pi \sqrt{\frac{2I}{MB_{x}}}


Option: 2

2\pi \sqrt{\frac{2I}{MB_{y}}}


Option: 3

2\pi \sqrt{\frac{2I}{M\left ( B{_{x}}^{2}+4B{_{y}}^{2} \right )^{\frac{1}{2}}}}

 


Option: 4

2\pi \sqrt{\frac{2I}{M\left ( B{_{x}}^{2}+4B{_{y}}^{2} \right )^{\frac{1}{2}}}}


Answers (1)

best_answer

Answer (4)

B_{y}=B_{x}\cos 60^{o}

B_{eff}=\sqrt{\frac{B_{x}^{2}}{4}+B_{y}^{2}}

T=2\pi \sqrt{\frac{I}{MM_{eff}}}

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Kshitij

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