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Thermal Properties of Matter

  1. Assuming the sun to have a spherical outer surface of radius r, radiating like a black body at temperature t°C, the power received by a unit surface, (normal to the incident rays) at a distance R from the centre of the sun is
    1. r²σ(t + 273)4
      4πR²
    2. 16π²rσt4
    3. r²σ(t + 273)4
    4. 4πrσt4

      where σ is the Stefan’s constant.
Correct Option: C

Power radiated by the sun at t°C
= σ(t + 273)4 4πr²
Power received by a unit surface

=
σ(t + 273)4 4πr²
=
r²σ(t + 273)4
4πR²



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