Thermal Velocity of Electrons – Rankers Physics

Basics of Current: Practice Problem & Solution

Assertion (A): The average thermal velocity of the electrons in a conductor is zero. Reason (R): In the absence of an electric field, the electrons are at rest.  
(1) Both (A) & (R) are true and the (R) is the correct explanation of the (A)
(2) Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false

Solution Explained:

To solve this problem, we apply the core principles of Basics of Current. Understanding the underlying formula is key to arriving at the correct answer below:

Assertion (A) is true: The thermal motion of electrons is random, so their average velocity vector \( langle vec{v}_{th} rangle \) is zero. Reason (R) is false: Electrons in a conductor are in continuous, random thermal motion even in the absence of an external electric field; they are not at rest.

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