Black-body temperature rises from 7°C to 287°C. If radiant power increases by a factor 2x, find x.
Physics · Mixed Chapter
JEE Main Practice

Question

Black-body temperature rises from 7°C to 287°C. If radiant power increases by a factor 2x, find x.

G1 Physics · Accepted Answer

Step 1: Absolute temperatures T₁=7+273=280 K, T₂=287+273=560 K. Step 2: Stefan–Boltzmann power P∝T⁴. Step 3: P₂/P₁=(560/280)⁴=2⁴=16. Step 4: Given power ratio=2x (twice x), so x=16/2=8.