The periodic time of a magnet in vibration magnetometer is T₀ . If a magnet is replaced by another magnet whose moment of inertia is three times and magnetic moment is one-third of the original magnet, then time period of new magnet will be

Step-by-step solution

The time period of a magnet in a vibration magnetometer is given by T = 2 I MB_H For the original magnet, T₀ = 2 I MB_H For the new magnet, the moment of inertia is I' = 3I and the magnetic moment is M' = M 3 The new time period is T' = 2 I' M'B_H Substituting the values, T' = 2 3I ( M 3 )B_H T' = 2 9I MB_H T' = 3 2 I MB_H T' = 3T₀ Answer: 3 ,T₀