Question

The figure shows a radiant energy spectrum graph for a black body at a temperature $T$. If the temperature of the body is raised to a higher temperature $T^{\prime }$, then choose the correct statement(s) :

• A. The intensity of radiation for every wavelength increases
• B. The maximum intensity occurs at a shorter wavelength
• C. The area under the graph increases
• D. The area under the graph is proportional to the fourth power of temperature

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A The intensity of radiation for every wavelength increases
B The maximum intensity occurs at a shorter wavelength
C The area under the graph increases
D The area under the graph is proportional to the fourth power of temperature

As seen from the figure the intensity of radiation increases for each wavelength as temp increases.
The max intensity occurs at shorter wavelength for a given temp.
The area under the graph increases as temp increases.
The area under the curve ${\int }^{}{R}_{\lambda }d\lambda =R$ $\alpha$ $T^4$ from Stefan's Law