The $$lament in an incandescent light bulb is a very thin, coiled tungsten wire. To radiate $1\mathrm{.}00$ x $10^2$W at $2\mathrm{.}00$ x $10^3$ deg C$,$ the surface area of the tungsten must equal $2\mathrm{.}54$ cm$2.$ The resistivity of tungsten at $20\mathrm{.}0\backslash$deg C is $5\mathrm{.}51$x $10^8\backslash$Omega$-$m and its temperature coefficient of resistance is $4\mathrm{.}50$x $10^3\backslash$deg C$-1.$

Find the radius of wire

Find the length of wire