STANDARDPhysics-Thermal Properties of Matter
STANDARD Physics Black Body Radiation MCQ Question
Type: MCQ-numerical-Medium-Class 11
A black body radiates heat energy at the 2 × 10⁵ J/sm² at the temperature of 127°C. Temperature of the black body at which rate radiation is 32 × 10⁵ J/sm², is
A
400 K
B
600 K
C
800 K
D
200 K
Correct Answer
Option C
Detailed Explanation
By Stefan's law, the rate of emission of radiated energy per unit area per unit time is E = σT⁴. Given E₁ = 2 × 10⁵ J/sm², T₁ = 127°C = 400 K and E₂ = 32 × 10⁵ J/sm². Solving for T₂ gives T₂ = 2 × T₁ = 800 K.
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