For a blackbody at 2000 K, peak wavelength is λ. At 3000 K peak wavelength becomes (K/3)λ. Find K.
Physics · Mixed Chapter
JEE Main Practice

Question

For a blackbody at 2000 K, peak wavelength is λ. At 3000 K peak wavelength becomes (K/3)λ. Find K.

G1 Physics · Accepted Answer

Step 1: Wien displacement law λmaxT=constant. Step 2: λ₂/λ₁=T₁/T₂=2000/3000=2/3. Step 3: Given λ₂=(K/3)λ₁, equate K/3=2/3 ⇒K=2.