Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
The solar constant for the earth is S. The surface temperature of the sun is T K. The sun subtends an angle\[\theta \]at the earth. (1) \[S\propto {{T}^{4}}\] (2) \[S\propto {{T}^{2}}\] (3) \[S\propto {{\theta }^{2}}\] (4) \[S\propto \theta \]A) 1, 2 and 3 are correct
B) 1 and 2 are correct
C) 2 and 4 are correct
D) 1 and 3 are correct
Correct Answer: D
Solution :
If R is the radius of the sun and T its temperature, then the energy emitted by the sun per sec through radiation in accordance with Stefan's law will be given by \[P=A\sigma {{T}^{4}}=4\pi {{R}^{2}}\sigma {{T}^{4}}\]You need to login to perform this action.
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