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WBJEE · Physics · Thermal Properties of Matter

Experimental investigations show that the intensity of solar radiation is maximum for a wavelength \(480 \mathrm{~nm}\) in the visible region. Estimate the surface temperature of sun. Given Wein's constant \(b=2.88 \times 10^{-3} \mathrm{mK}\).

  1. A \(4000 \mathrm{~K}\)
  2. B \(6000 \mathrm{~K}\)
  3. C \(8000 \mathrm{~K}\)
  4. D \(10^6 \mathrm{~K}\)
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Answer & Solution

Correct Answer

(B) \(6000 \mathrm{~K}\)

Step-by-step Solution

Detailed explanation

Hints: \(\lambda_{\mathrm{m}} \times \mathrm{T}=\mathrm{b}\) \(\lambda_{\mathrm{m}}=480 \mathrm{~nm}\) \(\mathrm{T}=\frac{b}{\lambda_m}=\frac{2.88 \times 10^{-3}}{480 \times 10^{-9}}=6000 \mathrm{~K}\)
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