Question

Calculate the temperature at which a perfectly black body
radiates at the rate of one watt/cm². Stefan's constant = 5.67
10-5 erg/s/cm²/K4​

Answer 1

Answer:

6.48  × 10² K

Explanation:

Given :

E = 1 watt / cm²

E in term of m :

E = 10⁴ W / m²

σ = 5.67 × 10⁻⁵ erg / s cm² K⁴

In term of Joule :

σ = 5.67 × 10⁻⁸ erg / s m² K⁴

From Stefan's law :

E = σ T⁴

T⁴ = E / σ

T⁴ = 10⁴ / ( 5.67 × 10⁻⁸ ) K

T⁴ = 1.764 × 10¹¹ K

T = 6.48  × 10² K

Therefore we get required temperature.