Two identical bar magnets are placed on above the other such that they are mutually perpendicular and bisect each other. The time period of this combination in a horizontal magnetic field is T. The time period of esch magnet in the same field is

Options

A. `sqrt(2)T`
B. `2^(1/4)T`
C. `2^(-1/4)T`
D. `2^(-1/2)T`

Answer

C

Explanation

Time period of a combination

`T=2pisqrt((2I)/(sqrt(2)M.H)) ...(i)`
and time period of each magnet
`T^(')=2pisqrt(I/(MH)) ...(ii)`
from (i) and (ii) we get
`T^(')=T/2^(1//4)=2^(-1//4)T`