If the temperature of the sun were to increase from T to 2T and its radius from R to 2R , then the ratio of the radiant energy received on earth to wh - Physics MCQ AIEEE 2004 2026 | ExamTest.live

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If the temperature of the sun were to increase from T to 2 T and its radius from R to 2 R, then the ratio of the radiant energy received on earth to what it was previously will be:

Solution & Step-by-step Explanation

According to Stefan-Boltzmann Law, the power radiated is P = σ A T^{4} .Area A = 4 π R^{2} .So, P \propto R^{2} T^{4} .Initial power P_{1} = k R^{2} T^{4} .New power P_{2} = k (2 R)^{2} (2 T)^{4} = k (4 R^{2}) (16 T^{4}) = 64 k R^{2} T^{4} . \frac{P _{2}}{P _{1}} = 64 .

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If the temperature of the sun were to increase from T to 2 T and its radius from R to 2 R, then the ratio of the radiant energy received on earth to what it was previously will be:

4

16

32

64

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