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Question 30894
JEE Physics · Hard

Elasticity, Thermal Expansion, Calorimetry and Heat Transfer: Radiation Advanced MCQ

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Radiation AdvancedHardQuestion 30894

Question

Two stars A and B have same luminosity. A has twice the radius of B. Ratio T_A:T_B is:
  1. A
    1:√2
    Correct
  2. B
    1:2
  3. C
    √2:1
  4. D
    2:1

Correct answer

1:√2

Explanation

L = 4πR²σT⁴. Same L: R_A²T_A⁴ = R_B²T_B⁴. (2R_B)²T_A⁴ = R_B²T_B⁴ → 4T_A⁴ = T_B⁴ → T_B/T_A = √2 → T_A:T_B = 1:√2.

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