The radiations from the Sun have a maximum wavelength of 5760 Å. The surface temperature of the Sun is ______ K. Wien's displacement constant is b = 0.288 × 10⁻² m K.
Physics · Mixed Chapter
JEE Main Practice

Question

The radiations from the Sun have a maximum wavelength of 5760 Å. The surface temperature of the Sun is ______ K. Wien's displacement constant is b = 0.288 × 10⁻² m K.

G1 Physics · Accepted Answer

Step 1: Wien's law: λₘₐₓT = b. Step 2: Convert λₘₐₓ = 5760 Å = 5760 × 10⁻¹⁰ m = 5.760 × 10⁻⁷ m. Step 3: b = 0.288 × 10⁻² = 2.88 × 10⁻³ m K. Step 4: T = b/λₘₐₓ = (2.88 × 10⁻³)/(5.760 × 10⁻⁷) = 5.00 × 10³ K. Final answer: 5000 K.