Average Thermal Velocity of Electrons – Rankers Physics

Basics of Current: Practice Problem & Solution

Assertion (A): The average thermal velocity of the electrons in the conductor is zero. Reason (R): Direction of motion of electrons are randomly oriented.  
(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:

In a conductor, free electrons are in constant random thermal motion. Due to this random orientation, for every electron moving in one direction, there's another moving in a roughly opposite direction, leading to a cancellation of their velocities. Therefore, the vector sum of these random velocities, which is the average thermal velocity, is zero. Both (A) and (R) are true, and (R) correctly explains (A).

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