Magnets `A` and `B` are geometrically similar but the magnetic moment of `A` is twice that of `B`. If `T_(1)` and `T_(2)` be the time periods of the oscillation when their like poles and unlike poles are kept togather respectively, then `T_(1)/T_(2)` will be

Options

A. `(1)/(3)`
B. `(1)/(2)`
C. `(1)/(sqrt3)`
D. `sqrt3`

Answer

C

Explanation

`T = 2 pi sqrt(1//MB_(H)) :. T_(1) = 2pi sqrt([(2l)/((P_(m) + 2P_(m))B_(H))])`
`T_(2) = 2 pi sqrt([(2l)/((2P_(m) + P_(m)) B_(H))])`
`:. (T_(1))/(T_(2)) = (1)/(sqrt3)`