If a bar magnet of magnetic moment M is kept in a uniform magnetic field B, its time period of oscillation is T. In the same magnetic field, the time period of another magnet of same dimension and same mass but of moment M/4 is,

Question

If a bar magnet of magnetic moment M is kept in a uniform magnetic field B, its time period of oscillation is T. In the same magnetic field, the time period of another magnet of same dimension and same mass but of moment M/4 is, (A) T (B) 2T (C) T/2 (D) T/4

Tardigrade Admin · Accepted Answer

T=2π√(1/MB), T'=2π√(1/(M)4B)=2T

Q. If a bar magnet of magnetic moment M is kept in a uniform magnetic field B, its time period of oscillation is T. In the same magnetic field, the time period of another magnet of same dimension and same mass but of moment M/4 is,

T

2T

T/2

T/4

$T = 2 π \frac{1}{MB}, T^{'} = 2 π \frac{1}{\frac{M}{4} B} = 2 T$

Q. If a bar magnet of magnetic moment M is kept in a uniform magnetic field B, its time period of oscillation is T. In the same magnetic field, the time period of another magnet of same dimension and same mass but of moment M/4 is,

T

2T

T/2

T/4

T=2πMB1​​,T′=2π4M​B1​​=2T

$T = 2 π \frac{1}{MB}, T^{'} = 2 π \frac{1}{\frac{M}{4} B} = 2 T$