NEET2011PhysicsThermal Properties of MatterActual
The temperature of the sun can be found out by using
Options
- AWien's displacement law
- BKepler's law of motion
- CStefan's Boltzmann law
- DPlanck's law
Correct answer
C. Stefan's Boltzmann law
Step-by-step solution
We know solar constant (heat flux falling on the earth), S =1350 ~W / m ^2 Let E be the energy emitted by the sun per second per unit area. Then, the total energy emitted by the sun is one second 4 R^2 E . This energy is falling on a sphere of radius equal to the radius of the Earth's orbit around the sun i.e., on a sphere of surface area 4 r ^2 . Energy falling per unit area = 4 R^2 E 4 r^2 = E R^2 r^2 =S Using Stefan Boltzman's law: E = T ^4 T = ( S R ^2 r ^2 )^ 1 4 =5760 ~K