ISRO Mechanical & Aerospace 2010 - Question 7

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Sun's surface at 5800 K emits radiation at a wavelength of 0.5$\mu$. A furnace at 300°C will emit through a small opening, radiation at a wavelength of

  • A. 5$\mu$
  • B. 0.5$\mu$
  • C. 2.5$\mu$
  • D. 0.25$\mu$

Answer: A. 5$\mu$

Explanation: Wien's Law: $\lambda_1 T_1 = \lambda_2 T_2$. $0.5 \times 5800 = \lambda_2 \times (300+273)$. $2900 = \lambda_2 \times 573 \Rightarrow \lambda_2 \approx 5.06 \mu m$.

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