The time period of a vibration magnetometer is `T_(0)`. Its magnet is replaced by another magnet whose moment of inertia is 3 times and magnetic moment is `1//3` of the initial magnet. The time period now will

Options

A. `3T_(0)`
B. `T_(0)`
C. `T_(0)//sqrt(3)`
D. `T_(0)//3`

Answer

A

Explanation

`T=2pisqrt(I/(MB_(H))),Irarr3 "times"` and `Mrarr1/3 "times"`
So `Trarr 3 "times" i.e., T^(')=3T_(0)`