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Q.

The filament of an incandescent lamp of 64W is made of tungsten. The operational temperature of the lamp is 2000K. Consider the filament as a black body and find its radius (in mm). (Take surroundings temperature to be 0 K) (Given: $σ = 6 \times 10^{- 8} W / m^{2}$ & length of filament is $\frac{10}{3 π} c m$ )

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Detailed Solution

$64 = σ T^{4} (2 π r l)$

$\Rightarrow r = 10^{- 3} m = 1 m m$

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The filament of an incandescent lamp of 64W is made of tungsten. The operational temperature of the lamp is 2000K. Consider the filament as a black body and find its radius (in mm). (Take surroundings temperature to be 0 K) (Given: σ=6×10−8W/m2 & length of filament is 103πcm )