Two circular coils X and Y having equal number of turns and carry equal currents in the same sense and subtend same solid angle at point O. If the smaller coil X is midway between O and Y, then if we represent the

magnetic induction due to bigger coil Y at O as B_Y and due to smaller coil X at O as B_X, then

• A

  $\frac{{\mathrm{B}}_{\mathrm{Y}}}{{\mathrm{B}}_{\mathrm{X}}}=1$

• B

  $\frac{{\mathrm{B}}_{\mathrm{Y}}}{{\mathrm{B}}_{\mathrm{X}}}=2$

• C

  $\frac{{\mathrm{B}}_{\mathrm{Y}}}{{\mathrm{B}}_{\mathrm{X}}}=\frac{1}{2}$

• D

  $\frac{{\mathrm{B}}_{\mathrm{Y}}}{{\mathrm{B}}_{\mathrm{X}}}=\frac{1}{4}$