A human body has a surface area of approximately $1 \mathrm{~m}^2$. The normal body temperature is 10 K above the surrounding room temperature $\mathrm{T}_{\mathrm{a}}$. Take the room temperature to be $\mathrm{T}_0=300 \mathrm{~K}$. For $\mathrm{T}_0 =300 \mathrm{~K}$, the value of $\sigma \mathrm{T}_0{ }^4=460 \mathrm{Wm}^{-2}$ (where $\sigma$ is the Stefan-Boltzmann constant). Which of the following options is/are correct?
Select ALL correct options:
A
If the surrounding temperature reduces by a small amount $\Delta t_0 \ll T_0$, then to maintain the same body temperature the same (living) human being needs-to radiate $\Delta \mathrm{W}=4 \sigma \mathrm{~T}_0{ }^3 \Delta \mathrm{~T}_0$ more energy per unit time
B
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
C
If the body temperature rises significantly then the peak in the spectrum of electromagnetic radiation emitted by the body would shift to longer wavelengths
D
The amount of energy radiated by the body in 1 second is close to 60 Joules
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