A wire of length 10 cm and diameter 0.5 mm is used in a bulb. The temperature of the wire is ${1727^\circ}{\rm{C}}$ and power radiated by the wire is 94.2 W. Its emissivity is $\frac{x}{8}$ where x =_____
(Given $\sigma = 6.0 \times {10^{ - 8}}\;{\rm{W}}\;{{\rm{m}}^{ - 2}}\;{{\rm{K}}^{ - 4}},\pi = 3.14$ and assume that the emissivity of wire material is same at all wavelength.)