Question:
A black body at 200 K is found to exit maximum energy at a wavelength 14 $ \mu m $ . When its temperature is raised to 1000 K, then wavelength at which maximum energy emitted is :
A black body at 200 K is found to exit maximum energy at a wavelength 14 $ \mu m $ . When its temperature is raised to 1000 K, then wavelength at which maximum energy emitted is :
Updated On: Aug 1, 2022
- 14mm
- 7 $ \mu m $
- 2.8 $ \mu m $
- 28 mm
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The Correct Option is C
Solution and Explanation
From Weins displacement law $ {{\lambda }_{m}}T=\text{constant,} $ Hence, $ {{\lambda }_{m}}_{_{1}}{{T}_{1}}={{\lambda }_{{{m}_{2}}}}{{T}_{2}} $ So, $ {{\lambda }_{{{m}_{2}}}}=\frac{{{\lambda }_{{{m}_{1}}}}{{T}_{1}}}{{{T}_{2}}}=\frac{14\times 200}{1000}=2.8\mu m $
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Concepts Used:
Heat Transfer
What is Heat Transfer?
It is defined as the movement of heat across the border of the system due to a difference in temperature between system and its surroundings.
How is Heat Transferred?
Heat can travel from one place to another in several ways. The different modes of heat transfer include:
- Conduction - Heat flows from things with higher temp to objects with lower temp.
- Convection - Movement of liquid molecules from higher temp regions to lower temp regions.
- Radiation - Radiant heat is present in every other way in our daily lives. Thermal radiations are also known to as radiant heat. Thermal radiation is generated by the emission of electromagnetic waves.
