Chapter 27.1, Problem 17SSC

To determine

The effect in frequency of peak intensity change when temperature on an object is increased and the total amount of energy radiated from the object.

Explanation of Solution

Introduction:

According to Stefan’s Boltzmann Law,

  $u\propto T^4$

Where,

u = total amount of radiated energy

T= temperature in Kelvin

From Wien’s displacement law, the frequency of peak intensity is related to temperature as follows:

  $f_{\max }\propto T$

From Stefan’s Boltzmann law and Wien’s displacement law, both frequency and total amount of radiated energy will increase with increase in temperature.

Conclusion:

Both frequency and total amount of radiated energy will increase with increase in temperature.