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BITSAT2013PhysicsThermal Properties of MatterActual

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 ?

Options

  1. AQ / 4 R²
  2. B( Q / 4 R² )^ -1 / 2
  3. C(4 R² Q / )^ 1 / 4
  4. D( Q / 4 R² )^ 1 / 4

Correct answer

D. ( Q / 4 R² )^ 1 / 4

Step-by-step solution

Stefan's law for black bodyradiation Q= e A T⁴ T= [ Q (4 R² ) ]^ 1 / 4 Here e=1 A=4 R²

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