StreakPeaked· Practice

ExamsNEETPhysics

The total radiant energy per unit area, normal to the direction of incidence, received at a distance R from the centre of a star of radius r, whose outer surface radiates as a black body at a temperature T K is given by: (where σ is Stefan’s constant)

  1. σr²T⁴/R²
  2. σr²T⁴/4πR²
  3. R²σT⁴/r⁴
  4. 4πσr²T⁴/R²

Correct answer: σr²T⁴/4πR²

Solution

The total radiant energy per unit area is given by the Stefan-Boltzmann law. The power radiated by the star is proportional to its surface area (4πr²) and T⁴. At a distance R, this energy spreads over a sphere of surface area 4πR². Thus, the energy per unit area is σr²T⁴/4πR².

Related NEET Physics questions

⚔️ Practice NEET Physics free + battle 1v1 →