ISRO Mechanical & Aerospace 2010 - Question 2

All ISRO Mechanical & Aerospace papers | ISRO Mechanical & Aerospace 2010

The spectral emissive power $E_\lambda$ for a diffusely emitting surface is $E_\lambda = 0$ for $\lambda > 3 \mu m$; $E_\lambda = 150 W/m²\mu m$ for $3 < \lambda < 12 \mu m$; $E_\lambda = 300 W/m²\mu m$ for $12 < \lambda < 25 \mu m$; $E_\lambda = 0$ for $\lambda > 25 \mu m$. The total emissive power of the surface over the entire spectrum is

  • A. 1250 W/m²
  • B. 2500 W/m²
  • C. 4000 W/m²
  • D. 5250 W/m²

Answer: D. 5250 W/m²

Explanation: Total power = $\int E_\lambda d\lambda = 150(12-3) + 300(25-12) = 150(9) + 300(13) = 1350 + 3900 = 5250$.

| | All questions of ISRO Mechanical & Aerospace 2010