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NEET2012PhysicsThermal 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 ? ( stands for Stefan's constant.)

Options

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

Correct answer

D. (Q / 4 R^2 )^ 1 / 4

Step-by-step solution

From Stefan' law, E= T^4 So, the rate energy production aligned & Q=E A & Q= T^4 4 R^2 aligned Temperature of star T= ( Q 4 R^2 )^ 1 / 4

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