Transmission Of Heat Question 215
Question: A thin square steel plate with each side equal to 10 cm is heated by a blacksmith. The rate of radiated energy by the heated plate is 1134 W. The temperature of the hot steel plate is (Stefan’s constant $ \sigma =5.67\times {{10}^{-8}}watt\ {{m}^{-2}}{{K}^{-4}} $ , emissivity of the plate = 1)
[MP PMT 1995]
Options:
A) $ 1000\ K $
B) $ 1189\ K $
C) $ 2000\ K $
D) $ 2378\ K $
Show Answer
Answer:
Correct Answer: B
Solution:
The rate of radiated energy $ \frac{Q}{t}=P=A\varepsilon \sigma T^{4} $
$ \Rightarrow 1134=5.67\times {{10}^{-8}}\times {{(0.1)}^{2}}T^{4} $
Therefore $ T=1189\ K $
BETA
