The cylindrical filament of an incandescent lamp of power 64 W is made of Tungsten. The operation temperature of the lamp is 2000 K . Consider the filament as a black body and find its radius (in mm).

Question

The cylindrical filament of an incandescent lamp of power 64 W is made of Tungsten. The operation temperature of the lamp is 2000 K . Consider the filament as a black body and find its radius (in mm). [0pt]

TestHub · Accepted Answer

E = σ A T 4 64 = 6 × 1 0 − 8 × 2 π × r × 3 π 10 ​ × 1 0 − 2 × ( 2000 ) 4 64 = 6 × 2 × 3 1 ​ × 16 × 1 0 12 × 1 0 − 10 × r r = 1000 1 ​ m r = 1 mm

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