Two magnets `A` and `B` are identical in mass, length and breadth but have different magnetic moments. In a vibration magnetometer, if the time period of `B` is twice the time period of `A`. The ratio of the magnetic moment `M_(A)//M_(B)` of the magnets will be

Options

A. `1//2`
B. `2`
C. `4`
D. `1//4`

Answer

C

Explanation

`T=2pisqrt(I/(MB_(H))) implies T prop 1/sqrt(M)impliesM_(A)/M_(B)=(T_(B)/T_(A))^(2)=4/1`