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Thermal Properties of Matter

  1. If the radius of a star is R and it acts as a black body, what would be the temperature of the star, in which the rate of energy production is Q ?
    1. Q/4πR2 σ
    2. (Q/4πR2σ)–1/2
    3. (4πR2Q/σ)1/4
    4. (Q/4πR2σ)1/4
      (σ stands for Stefan’S constant)
Correct Option: D

Stefan’s law for black body radiation

T =
Q
1/4
2T

Here e = 1
A = 4πR²



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