Answer & Solution
In simple metals
, the phonon contribution to the electrical resistivity at temperature T follows specific trends based on the Debye temperature:Option A: This option is correct. Above the Debye temperature, the phonon contribution to the electrical resistivity is directly proportional to T. Below the Debye temperature, it is proportional to T3. This behavior is in accordance with the Debye theory of solids, which predicts these dependencies.
Option B: This option is incorrect. The phonon contribution to electrical resistivity is not inversely proportional to T for all temperatures in simple metals.
Option C: This option is incorrect. The phonon contribution to electrical resistivity is not independent of temperature for all temperatures in simple metals.
Option D: This option is incorrect. While it states a direct proportionality above the Debye temperature, it incorrectly suggests a proportionality to T5 below the Debye temperature. The correct dependency below the Debye temperature is T3, not T5. Therefore, this option is not accurate.