How does the mobility of electrons in a conductor change, if the p.d. applied across the conductor is doubled, keeping its length and temperature constant?

Explanation

To solve the question of how the mobility of electrons in a conductor changes when the potential difference (p.d.) is doubled, while keeping the length and temperature constant, we can follow these steps:

### Step 1: Understand the concept of mobility
Mobility (μ) of electrons in a conductor is defined as the drift velocity (v_d) per unit electric field intensity (E). This can be expressed mathematically as:
\[ \mu = \frac{v_d}{E} \]

### Step 2: Relate drift velocity to electric field
The drift velocity can be expressed in terms of the electric field intensity (E) and the relaxation time (τ) as follows:
...