According to Stefan-Boltzman law the radiation energy emitted byby a black body is directly proportional to (where T is the absolute temperature Of the body)

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  1. T4
  2. T1
  3. T2
  4. T3

Answer (Detailed Solution Below)

Option 1 : T4
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Explanation:  

Stephen's Boltzmann law:

According to Stefan’s law, the radiant energy emitted by a black body is directly proportional to the fourth power of its absolute temperature.

Q̇ = єσAT4

Where Q̇ is Radiate energy, σ is the Stefan-Boltzmann Constant, T is the absolute temperature in Kelvin, є is Emissivity of the material, and A is the area of the emitting body.

  • Stefan's Law is used to accurately find the temperature Sun, Stars, and the earth.
  • A black body is an ideal body that absorbs or emits all types of electromagnetic radiation.

From above it clear that the amount of radiation emitted by a perfectly black body is proportional to the fourth power of temperature on an ideal gas scale. Thus, option 3 is correct.

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