Current Electricity Charging Discharging Of Capacitors Question 345

Question: A metallic block has no potential difference applied across it, then the mean velocity of free electrons is $ T $ = absolute temperature of the block)

Options:

A) Proportional to $ T $

B) Proportional to $ \sqrt{T} $

C) Zero

D) Finite but independent of temperature

Show Answer

Answer:

Correct Answer: B

Solution:

In the absence of external electric field mean velocity of free electron $ ( V _{rms} ) $ is given by $ V _{rms}=\sqrt{\frac{3KT}{m}}\Rightarrow V _{rms}\propto \sqrt{T} $