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Calculate the energy radiated in one minute by a perfectly black body of surface area 200 cm2 when it is maintained at 127°C. - Physics

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प्रश्न

Calculate the energy radiated in one minute by a perfectly black body of surface area 200 cm2 when it is maintained at 127°C.

संख्यात्मक

उत्तर

Given:

A = 200 cm2 = 200 × 10−4 m= 0.02 m2

T = 127°C = (127 + 273) K = 400 K

t = 1 min = 60 s

σ = 5.67 × 10−8 W/m2 K4

The total energy radiated is given by the Stefan-Boltzmann Law:

Q = σ AtT4

= (5.67 × 10−8) × 0.02 × 60 × (400)4

= (5.67 × 10−8) × 0.02 × 60 × (256 × 106) ...(4004 = 256 × 106

= 5.67 × 10−8 × 307.2 × 106

= 1.742 × 101

= 17.42 J

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