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Question

An electric heater emits 1000 W of thermal radiation. The coil has a surface area of 0.020 m2. Assuming that the coil radiates like a blackbody, find its temperature. σ=6.00×108W/m2K4.


A

955 deg C

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B

955 deg F

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C

955 K

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D

865 K

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Solution

The correct option is C

955 K


Let the temperature of the coil be T. The coil will emit radiation at a rate Aσ T4. Thus,

1000W =(0.020 m2)×(6.0×128W/m2K4)×T64

or, T4=10000.020×6.00×108K4

=8.33×1011K4

or, T=955 K.


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