A current carrying thin uniform wire of length '4l' is bent like a square so that it produces a magnetic induction `B_(1)` at the centre of the square. When the same wire is bent like a circle, it produces a magnetic induction `B_(2)` at the centre of the circle. The ratio between `B_(1) and B_(2)` is

Options

A. `pi^(2) : 8 sqrt(2)`
B. `8 : pi^(2)`
C. `sqrt(2) : pi^(2)`
D. `8 sqrt(2) : pi^(2)`

Answer

D