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/sqrt(3)`
D. `sqrt(3)`

Answer

C

Explanation

`T_(Sum)=2pisqrt(((I_(1)+I_(2)))/((M_(1)+M_(2))B_(H)))`
`T_(d i ff)=2pisqrt(((I_(1)+I_(2)))/((M_(1)+M_(2))B_(H)))`
`implies T_(s)/T_(d)=T_(1)/T_(2)=sqrt((M_(1)-M_(2))/(M_(1)+M_(2)))=sqrt((2M-M)/(2M+M))=1/sqrt(3)`