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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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