Question

A human body has a surface area of approximately 1m². The normal body temperature is 10 K above the surrounding room temperature T₀. Take the room temperature to be T₀ = 300 K. For T₀ = 300 K, the value of T_{0 =} 300 K, the value of σT⁴₀ = 460 Wm^-2  (where σ is the Stefan-Boltzmann constant). Which of the following options is/are correct?

(A) The amount of energy radiated by the body in 1 second is close to 60 Joules 

(B) If the body temperature rises significantly then the peak in the spectrum of electromagnetic radiation emitted by the body would shift to longer wavelengths 

(C) If the surrounding temperature reduces by a small amount Δt₀ << T₀ , then to maintain the same body temperature the same (living) human being needs to radiate ΔW = 4σT³₀ ΔT₀ more energy per unit time

(D) Reducing the exposed surface area of the body (e.g. by curling up) allows humans to maintain the same body temperature while reducing the energy lost by radiation

Answer 1

The correct option is (A), (C), (D).

Explanation:

Body metabolic system will have to produce additional energy in order to maintain the temperature. 

Let due to internal metabolism, power produced is I, 

As temperature of body is constant, ΔQ_net = 0