A wire of length 10 cm and diameter 0.5 mm is used in a bulb. The temperature of the wire is 1727^° C and power radiated by the wire is 94.2 W. Its…

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