The graph shows the variation in radiation intensity per unit wavelength versus wavelength for a perfect blackbody at temperature T. Complete the following statement: As the blackbody temperature is increased, the peak in intensity of this curve
A)will remain constant.
B)will be shifted to longer wavelengths and its magnitude will increase.
C)will be shifted to shorter wavelengths and its magnitude will increase.
D)will be shifted to longer wavelengths and its magnitude will decrease.
E)will be shifted to shorter wavelengths and its magnitude will decrease.

Question

The graph shows the variation in radiation intensity per unit wavelength versus wavelength for a perfect blackbody at temperature T.  Complete the following statement: As the blackbody temperature is increased, the peak in intensity of this curve
A)will remain constant. 
B)will be shifted to longer wavelengths and its magnitude will increase. 
C)will be shifted to shorter wavelengths and its magnitude will increase. 
D)will be shifted to longer wavelengths and its magnitude will decrease. 
E)will be shifted to shorter wavelengths and its magnitude will decrease.

Quizplus · Accepted Answer

As per Wien's Law, the wavelength of maximum intensity peaks at a shorter wavelength with increased temperature. This is also evident in the graph where the curve shifts towards shorter wavelengths as the temperature increases. Additionally, as per Stefan-Boltzmann Law, the total amount of radiation emitted by the blackbody is proportional to the fourth power of the absolute temperature, which explains the increase in magnitude of the curve with temperature. Thus, the correct choice is C.

The Graph Shows the Variation in Radiation Intensity Per Unit