Q. A black body at 1227°C emits radiations with maximum intensity at a wavelength of 5000 Å. If the temperature of the body is increased by 1000°C, the maximum intensity will be observed at :

A) 7500 Å
B) 1500 Å
C) 6000 Å
D) 3000 Å
Explanation

[Solution from source] By Wien's law λₘT is constant. T₁ = 1227 + 273 = 1500 K and T₂ = 2500 K, so λ₂ = 5000 × 1500/2500 = 3000 Å. Using Celsius temperatures (1227 and 2227) would give a wrong ratio; the peak must shift to a shorter wavelength as the body gets hotter. Answer (4).

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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