A human body has surface area of approximately 1m 2 . The normal body temperature is 10 K above the surrounding room temperature T 0 . Take the room temperature to be T 0 = 300 K. For T 0 = 300K, the value of
= 460 Wm –2 (where σ is the Stefan-Boltzmann constant). Which of the following options is/are correct?
Text Solution
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Since the temperature of the body remains same, therefore heat radiated by the body is same as before. (W 1 = σ aT 4 = σ a(310) 4 )
W ∝ Area
If exposed area decreases, energy radiated also decreases.
λ m T = b ⇒ T , λ m ↓
(W 1 = σ aT 4 = σ a(310) 4 )
Since it is given that
= 460 Wm –2
Hence, σ a(310) 4 > 460 Wm –2
So option is wrong
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T 0 << T 0 , then to maintain the same body temperature the same (living) human being needs to radiate
W =
more energy per unit time.