Time period of oscillations of a magnet of magnetic moment M and moment of inertia I in a vertical plane perpendicular to the magnetic meridian at a place where earth's horizontal and vertical component of magnetic field are BH and Bv respectively is

Question

Time period of oscillations of a magnet of magnetic moment M and moment of inertia I in a vertical plane perpendicular to the magnetic meridian at a place where earth's horizontal and vertical component of magnetic field are BH and Bv respectively is (A) T=2 π √(I/M(BV2+BH2)1 / 2) (B) T=2 π √(1/M Bv) (C)  T=2 π √(I/M BH) (D) Infinite

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/d84743aff540f2a4614c1e685e5ce792-.png" /> T=2 π √(I/M B v)

Q. Time period of oscillations of a magnet of magnetic moment $M$ and moment of inertia $I$ in a vertical plane perpendicular to the magnetic meridian at a place where earth's horizontal and vertical component of magnetic field are $B_{H}$ and $B_{v}$ respectively is

$T = 2 π \frac{I}{M ( B _{V}^{2} + B _{H}^{2} ) ^{1/2}}$

$T = 2 π \frac{1}{M B _{v}}$

$T = 2 π \frac{I}{M B _{H}}$

Infinite

$T = 2 π \frac{I}{MB v}$

Q. Time period of oscillations of a magnet of magnetic moment M and moment of inertia I in a vertical plane perpendicular to the magnetic meridian at a place where earth's horizontal and vertical component of magnetic field are BH​ and Bv​ respectively is

T=2πM(BV2​+BH2​)1/2I​​

T=2πMBv​1​​

T=2πMBH​I​​