In a screw gauge, there are 100 divisions on the circular scale and the main scale moves by $0.5 \mathrm{~mm}$ on a complete rotation of the circular scale. The zero of circular scale lies 6 divisions below the line of graduation when two studs are brought in contact with each other. When a wire is placed between the studs, 4 linear scale divisions are clearly visible while $46^{\text {th }}$ division the circular scale coincide with the reference line. The diameter of the wire is ______________ $\times 10^{-2} \mathrm{~mm}$.