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Properties of Matter question

2017 · Shift 1 · Q40
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Properties of Matter question

2017 · Shift 1 · Q40

JEE AdvancedPhysicsProperties of MatterMultiple correct+4 / −2
A human body has a surface area of approximately 1 m2.1\,m{}^2.1m2. The normal body temperature is 10K10K10K above the surrounding room temperature T0.{T_0}.T0​. Take the room temperature to be T0=300K.{T_0} = 300K.T0​=300K. For T0=300 K,{T_0} = 300\,K,T0​=300K, the value of σT04=460 Wm−2\sigma T_0^4 = 460\,W{m^{ - 2}}σT04​=460Wm−2(where σ\sigmaσ is the Stefan-Boltzmann constant). Which of the following options is / are correct?
  1. A
    The amount of energy radiated by the body in 111 second is close to 606060 joules
  2. B
    If the surrounding temperature reduces by a small amount ΔT0<<T0,\Delta {T_0} \lt \lt {T_0},ΔT0​<<T0​, then to maintain the same body temperature the same (living) human being needs to radiate ΔW=4σT03ΔT0\Delta W = 4\sigma T_0^3\Delta {T_0}ΔW=4σT03​ΔT0​ more energy per unit time
  3. C
    Reducing the exposed surface area of the body (e.g. by curling up) allows human to maintain the same body temperature while reducing the energy lost by radiation
  4. D
    If the body temperature rises significantly then the peak in the spectrum of electromagnetic radiation emitted by the body would shift to longer wavelengths
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