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## Homework Statement

Determine the temperature of the filament of a 60watt lamp, if the filament has an area of 10mm^2 and an absorptivity of 0.35. Assume stefan-Boltzmann constant is 5.67*10^-8 W/(m.K^4).

## Homework Equations

## The Attempt at a Solution

The equation I have attempted with is

Q= εσAT^4

60= 0.35*(5.67*10^-8)*(0.00001m^2)*(T^4)

T^4= 60/(0.35* 5.67*10^-8* 0.00001)

then 4th root of answer = 4169.894

is this correct?