In a screw gauge, there are 100 divisions on the circular scale and the main scale moves by 0.5 mm on a complete rotation of the circular scale. The…

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