\( \mathrm{A} \) and \( \mathrm{B} \) are the two concentric circul...

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\( \mathrm{A} \) and \( \mathrm{B} \) are the two concentric circular conductors of center \( \mathrm{O} \) and carrying currents \( I_{1} \) and \( I_{2} \) as shown in the adjacent figure. If ratio of their radii is \( 1: 2 \) and ratio of the flux densities at \( \mathrm{O} \) due to \( \mathrm{A} \) and \( \mathrm{B} \) is \( 1: 3 \) then the value of \( I_{1} / I_{2} \) is
a. \( 1 / 6 \)
b. \( 1 / 4 \)
c. \( 1 / 3 \)
d. \( 1 / 2 \)
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