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