Question

The Sun’s surface at 5800 K emits radiation at a wavelength of 0.5 \(\mu m\). A furnace at 300°C will emit through a small opening, radiation at a wavelength of nearly —————.

• A. 10 \(\mu m\)
• B. 5 \(\mu m\)
• C. 0.25 \(\mu m\)
• D. 0.025 \(\mu m\)

Hint:

Wien's displacement law helps in estimating peak emission wavelengths based on temperature.

Answer 1

The Correct Option is A

- According to Wien’s displacement law: \[ \lambda_{max} T = b \] where \( b = 2898 \, \mu m \cdot K \). - For the furnace at \( 573 \, K \): \[ \lambda_{max} = \frac{2898}{573} \approx 10 \, \mu m \] Conclusion: The correct answer is option (A).