Ratio of radii of radiating bodies from their powers and temperatures
This type of question, asked 6 times: 3 May 2023 S1, 11 May 2024 S1, 23 Apr 2025 S1, 26 Apr 2025 S2, 18 Apr 2026 S1, 13 May 2026 S2. All 6 questions below, oldest first.
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Question 1
3 May 2023 S1
48
Two spherical black bodies of radii 'R1' and 'R2' and temperatures 'T1' and 'T2' radiate the same power. The ratio 'R1' to 'R2' will be
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Question 2
11 May 2024 S1
3
Two spherical black bodies of radii r1 and r2 at temperature T1 and T2 respectively radiate power in the ratio 1:2. Then r1:r2 is
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Question 3
23 Apr 2025 S1
49
Two spherical black bodies have radii ' R1 ' and ' R2 '. Their surface temperatures are T1K and T2K respectively. If they radiate the same power, the ratio R2R1 is
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Question 4
26 Apr 2025 S2
5
Two spherical black bodies have radii ' R1 ' and ' R2 '. Their surface temperatures are ' T1 ' and ' T2 '. If they radiate same power, then R1R2 is
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Question 5
18 Apr 2026 S1
113
Two spherical black bodies of radii R1 and R2 having surface temperature T1 and T2 respectively, radiate the same power. The ratio of R1 to R2 will be
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Question 6
13 May 2026 S2
115
The radiation emitted by a star A is 10000 times that of the sun. If surface temperature of sun and star A are 6000 K and 2000 K respectively, the ratio of radii of star A and sun is