Question

The plots of intensity vs wavelength for two black bodies at temperature $T_{1}$ and $T_{2}$ such that $T_{2}=2 T_{1}$ respectively are as shown. Let the energy radiated per second by body $1$ and body $2$ be $E_{1}$ and $E_{2}$ respectively. Pick up the correct statement(s).

• A. $E_{1}=16\, E_{2}$
• B. $E_{1}$ may be equal to $16$ times of $E_{2}$
• C. The area under curve $1$ and area under curve $2$ will be same
• D. Area under curve $2$ is larger than area under curve $1$

Answer 1

Answer: (B)

As in the situation surface area of the bodies is not specified we cannot comment on total energy radiated by the bodies which is given by the are a under the spectral intensity curves. If the areas of the two bodies are equal then option (B) can be correct