A bar magnet is oscillating in the earth's magnetic field with a period T. What happens to its period and motion if its mass is quadrupled

Options

A. Motion remains S.H.M. with time period = 2T
B. Motion remains S.H.M. with time period = 4T
C. Motion remains S.H.M. and period remains nearly constant
D. Motion remains S.H.M. with time period `= (T)/(2)`

Answer

A

Explanation

`T prop sqrt("mass")`
`rArr (T)/(T_(1))= sqrt((m)/(m_(1))) = sqrt((m)/(4m)) = (1)/(2) rArr T_(2)= 2T`