The magnitude of magnetic field at the centre of loop is
B1 =Bcentre =2Rμ∘i…(1)

The magnitude of magnetic field at a point at a distance x from the centre along axis of loop is
Baxis =2(R2+x2)23μ∘iR2
B2 =2(223)R3μ∘iR2…(2) (sincex=R)
Dividing equation 1 by equation 2, we get
B2B1=22:1