Answer3. The ratio of power radiated by it would become A64 times B16 times C32 times D4 times If the temperature of sun were to increase from T to 2T and its radius from R to 2 R, then ratio of radiant energy received on earth to what it was previously The correct answer is E2E1= (2R)2 (2T)4R2T4=64 The correct answer is P=σAT4⇒P=σ4πR2T4P1P2=R1R22×T1T24 If the temperature of the sun were to increase from T to 2T and its radius from R to 2R, then we can use the Stefan-Boltzmann law which states that the radiant energy E that a black body radiates is proportional to the fourth power of its absolute temperature T (E \ ( \propto T^4 )). 32 timesD. Q. Knowledge Check If the temperature of the Sun were to increase from T to 2T and its radius from R to 2R. Step by step video solution for If the temperature of the Sun were to increase from T to 2T and its radius from R to 2R. The rat io of power, radiated by it would become A 64 times B 16 times C 32 times D 4 times More from this Exercise 9 videos Text Solution Verified by Experts Step by step video solution for If the temperature of the Sun were to increase from T to 2T and its radius from R to 2R. 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_____ see full answer Jan 20, 2025 · – Temperature increases to 2T: Power increases proportionally to (2T)⁴ = 16T⁴ – Total power increases to: P₂ ∝ 4R² × 16T⁴ = 64R²T⁴ 3. 32 D. It is given that the final temperature of the sun is twice of its initial value and its final radius is also twice of its initial radius.

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